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Finding the Third Proportional to 100,472 and 218,432

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Solution

The third proportional to 100,472 and 218,432 is: 474,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472 : 218,432 = 218,432 : x
  2. Step 2: Convert to fraction form
    100,472/218,432 = 218,432/x
  3. Step 3: Cross multiply
    100,472x = 218,432 × 218,432
  4. Step 4: Simplify right side
    100,472x = 47,712,538,624
  5. Step 5: Solve for x
    x = 47,712,538,624/100,472
  6. Step 6: Final answer
    x = 474,883.93

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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.