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Finding the Third Proportional to 101,442 and 218,472

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Solution

The third proportional to 101,442 and 218,472 is: 470,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442 : 218,472 = 218,472 : x
  2. Step 2: Convert to fraction form
    101,442/218,472 = 218,472/x
  3. Step 3: Cross multiply
    101,442x = 218,472 × 218,472
  4. Step 4: Simplify right side
    101,442x = 47,730,014,784
  5. Step 5: Solve for x
    x = 47,730,014,784/101,442
  6. Step 6: Final answer
    x = 470,515.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.