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Finding the Third Proportional to 151,017 and 239,917.50

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Solution

The third proportional to 151,017 and 239,917.50 is: 381,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,017 : 239,917.50 = 239,917.50 : x
  2. Step 2: Convert to fraction form
    151,017/239,917.50 = 239,917.50/x
  3. Step 3: Cross multiply
    151,017x = 239,917.50 × 239,917.50
  4. Step 4: Simplify right side
    151,017x = 57,560,406,806.25
  5. Step 5: Solve for x
    x = 57,560,406,806.25/151,017
  6. Step 6: Final answer
    x = 381,151.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.