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Finding the Third Proportional to 144,117,473,159.50 and 300,163,461,980

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Solution

The third proportional to 144,117,473,159.50 and 300,163,461,980 is: 625,171,271,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,117,473,159.50 : 300,163,461,980 = 300,163,461,980 : x
  2. Step 2: Convert to fraction form
    144,117,473,159.50/300,163,461,980 = 300,163,461,980/x
  3. Step 3: Cross multiply
    144,117,473,159.50x = 300,163,461,980 × 300,163,461,980
  4. Step 4: Simplify right side
    144,117,473,159.50x = 90,098,103,907,818,909,204,480
  5. Step 5: Solve for x
    x = 90,098,103,907,818,909,204,480/144,117,473,159.50
  6. Step 6: Final answer
    x = 625,171,271,273.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.