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Finding the Third Proportional to 289,407 and 625,599

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Solution

The third proportional to 289,407 and 625,599 is: 1,352,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,407 : 625,599 = 625,599 : x
  2. Step 2: Convert to fraction form
    289,407/625,599 = 625,599/x
  3. Step 3: Cross multiply
    289,407x = 625,599 × 625,599
  4. Step 4: Simplify right side
    289,407x = 391,374,108,801
  5. Step 5: Solve for x
    x = 391,374,108,801/289,407
  6. Step 6: Final answer
    x = 1,352,331.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.