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Finding the Third Proportional to 70,151 and 155,069

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Solution

The third proportional to 70,151 and 155,069 is: 342,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,151 : 155,069 = 155,069 : x
  2. Step 2: Convert to fraction form
    70,151/155,069 = 155,069/x
  3. Step 3: Cross multiply
    70,151x = 155,069 × 155,069
  4. Step 4: Simplify right side
    70,151x = 24,046,394,761
  5. Step 5: Solve for x
    x = 24,046,394,761/70,151
  6. Step 6: Final answer
    x = 342,780.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.