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Finding the Third Proportional to 151,810 and 222,793

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Solution

The third proportional to 151,810 and 222,793 is: 326,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,810 : 222,793 = 222,793 : x
  2. Step 2: Convert to fraction form
    151,810/222,793 = 222,793/x
  3. Step 3: Cross multiply
    151,810x = 222,793 × 222,793
  4. Step 4: Simplify right side
    151,810x = 49,636,720,849
  5. Step 5: Solve for x
    x = 49,636,720,849/151,810
  6. Step 6: Final answer
    x = 326,966.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.