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Finding the Third Proportional to 287,550 and 625,484

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Solution

The third proportional to 287,550 and 625,484 is: 1,360,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,550 : 625,484 = 625,484 : x
  2. Step 2: Convert to fraction form
    287,550/625,484 = 625,484/x
  3. Step 3: Cross multiply
    287,550x = 625,484 × 625,484
  4. Step 4: Simplify right side
    287,550x = 391,230,234,256
  5. Step 5: Solve for x
    x = 391,230,234,256/287,550
  6. Step 6: Final answer
    x = 1,360,564.19

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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.