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Finding the Third Proportional to 138,975,339 and 299,490,600

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Solution

The third proportional to 138,975,339 and 299,490,600 is: 645,399,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,975,339 : 299,490,600 = 299,490,600 : x
  2. Step 2: Convert to fraction form
    138,975,339/299,490,600 = 299,490,600/x
  3. Step 3: Cross multiply
    138,975,339x = 299,490,600 × 299,490,600
  4. Step 4: Simplify right side
    138,975,339x = 89,694,619,488,360,000
  5. Step 5: Solve for x
    x = 89,694,619,488,360,000/138,975,339
  6. Step 6: Final answer
    x = 645,399,537.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.