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Finding the Third Proportional to 147,787 and 216,439

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Solution

The third proportional to 147,787 and 216,439 is: 316,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,787 : 216,439 = 216,439 : x
  2. Step 2: Convert to fraction form
    147,787/216,439 = 216,439/x
  3. Step 3: Cross multiply
    147,787x = 216,439 × 216,439
  4. Step 4: Simplify right side
    147,787x = 46,845,840,721
  5. Step 5: Solve for x
    x = 46,845,840,721/147,787
  6. Step 6: Final answer
    x = 316,982.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.