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Finding the Third Proportional to 272,698 and 636,909

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Solution

The third proportional to 272,698 and 636,909 is: 1,487,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,698 : 636,909 = 636,909 : x
  2. Step 2: Convert to fraction form
    272,698/636,909 = 636,909/x
  3. Step 3: Cross multiply
    272,698x = 636,909 × 636,909
  4. Step 4: Simplify right side
    272,698x = 405,653,074,281
  5. Step 5: Solve for x
    x = 405,653,074,281/272,698
  6. Step 6: Final answer
    x = 1,487,554.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.