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Finding the Third Proportional to 100,472 and 216,719

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Solution

The third proportional to 100,472 and 216,719 is: 467,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472 : 216,719 = 216,719 : x
  2. Step 2: Convert to fraction form
    100,472/216,719 = 216,719/x
  3. Step 3: Cross multiply
    100,472x = 216,719 × 216,719
  4. Step 4: Simplify right side
    100,472x = 46,967,124,961
  5. Step 5: Solve for x
    x = 46,967,124,961/100,472
  6. Step 6: Final answer
    x = 467,464.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.