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Finding the Third Proportional to 287,654 and 625,809

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Solution

The third proportional to 287,654 and 625,809 is: 1,361,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,654 : 625,809 = 625,809 : x
  2. Step 2: Convert to fraction form
    287,654/625,809 = 625,809/x
  3. Step 3: Cross multiply
    287,654x = 625,809 × 625,809
  4. Step 4: Simplify right side
    287,654x = 391,636,904,481
  5. Step 5: Solve for x
    x = 391,636,904,481/287,654
  6. Step 6: Final answer
    x = 1,361,486.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.