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Finding the Third Proportional to 563,712 and 872,478

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Solution

The third proportional to 563,712 and 872,478 is: 1,350,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,712 : 872,478 = 872,478 : x
  2. Step 2: Convert to fraction form
    563,712/872,478 = 872,478/x
  3. Step 3: Cross multiply
    563,712x = 872,478 × 872,478
  4. Step 4: Simplify right side
    563,712x = 761,217,860,484
  5. Step 5: Solve for x
    x = 761,217,860,484/563,712
  6. Step 6: Final answer
    x = 1,350,366.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.