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Finding the Third Proportional to 145,657,976.63 and 312,040,512

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Solution

The third proportional to 145,657,976.63 and 312,040,512 is: 668,478,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,976.63 : 312,040,512 = 312,040,512 : x
  2. Step 2: Convert to fraction form
    145,657,976.63/312,040,512 = 312,040,512/x
  3. Step 3: Cross multiply
    145,657,976.63x = 312,040,512 × 312,040,512
  4. Step 4: Simplify right side
    145,657,976.63x = 97,369,281,129,222,144
  5. Step 5: Solve for x
    x = 97,369,281,129,222,144/145,657,976.63
  6. Step 6: Final answer
    x = 668,478,880.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.