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Finding the Third Proportional to 151,413 and 205,720

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Solution

The third proportional to 151,413 and 205,720 is: 279,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,413 : 205,720 = 205,720 : x
  2. Step 2: Convert to fraction form
    151,413/205,720 = 205,720/x
  3. Step 3: Cross multiply
    151,413x = 205,720 × 205,720
  4. Step 4: Simplify right side
    151,413x = 42,320,718,400
  5. Step 5: Solve for x
    x = 42,320,718,400/151,413
  6. Step 6: Final answer
    x = 279,505.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.