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Finding the Third Proportional to 68,320 and 151,488

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Solution

The third proportional to 68,320 and 151,488 is: 335,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,320 : 151,488 = 151,488 : x
  2. Step 2: Convert to fraction form
    68,320/151,488 = 151,488/x
  3. Step 3: Cross multiply
    68,320x = 151,488 × 151,488
  4. Step 4: Simplify right side
    68,320x = 22,948,614,144
  5. Step 5: Solve for x
    x = 22,948,614,144/68,320
  6. Step 6: Final answer
    x = 335,898.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.