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Finding the Third Proportional to 220,564 and 478,472

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Solution

The third proportional to 220,564 and 478,472 is: 1,037,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,564 : 478,472 = 478,472 : x
  2. Step 2: Convert to fraction form
    220,564/478,472 = 478,472/x
  3. Step 3: Cross multiply
    220,564x = 478,472 × 478,472
  4. Step 4: Simplify right side
    220,564x = 228,935,454,784
  5. Step 5: Solve for x
    x = 228,935,454,784/220,564
  6. Step 6: Final answer
    x = 1,037,954.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.