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Finding the Third Proportional to 215,802 and 315,882

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Solution

The third proportional to 215,802 and 315,882 is: 462,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,802 : 315,882 = 315,882 : x
  2. Step 2: Convert to fraction form
    215,802/315,882 = 315,882/x
  3. Step 3: Cross multiply
    215,802x = 315,882 × 315,882
  4. Step 4: Simplify right side
    215,802x = 99,781,437,924
  5. Step 5: Solve for x
    x = 99,781,437,924/215,802
  6. Step 6: Final answer
    x = 462,374.95

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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.