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Finding the Third Proportional to 31,909.50 and 70,339

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Solution

The third proportional to 31,909.50 and 70,339 is: 155,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.50 : 70,339 = 70,339 : x
  2. Step 2: Convert to fraction form
    31,909.50/70,339 = 70,339/x
  3. Step 3: Cross multiply
    31,909.50x = 70,339 × 70,339
  4. Step 4: Simplify right side
    31,909.50x = 4,947,574,921
  5. Step 5: Solve for x
    x = 4,947,574,921/31,909.50
  6. Step 6: Final answer
    x = 155,050.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.