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Finding the Third Proportional to 66,090,132 and 143,159,976

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Solution

The third proportional to 66,090,132 and 143,159,976 is: 310,103,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,090,132 : 143,159,976 = 143,159,976 : x
  2. Step 2: Convert to fraction form
    66,090,132/143,159,976 = 143,159,976/x
  3. Step 3: Cross multiply
    66,090,132x = 143,159,976 × 143,159,976
  4. Step 4: Simplify right side
    66,090,132x = 20,494,778,728,320,576
  5. Step 5: Solve for x
    x = 20,494,778,728,320,576/66,090,132
  6. Step 6: Final answer
    x = 310,103,461.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.