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Finding the Third Proportional to 287,547 and 625,478

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Solution

The third proportional to 287,547 and 625,478 is: 1,360,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,547 : 625,478 = 625,478 : x
  2. Step 2: Convert to fraction form
    287,547/625,478 = 625,478/x
  3. Step 3: Cross multiply
    287,547x = 625,478 × 625,478
  4. Step 4: Simplify right side
    287,547x = 391,222,728,484
  5. Step 5: Solve for x
    x = 391,222,728,484/287,547
  6. Step 6: Final answer
    x = 1,360,552.29

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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.