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Finding the Third Proportional to 71,881.50 and 155,980.50

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Solution

The third proportional to 71,881.50 and 155,980.50 is: 338,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,881.50 : 155,980.50 = 155,980.50 : x
  2. Step 2: Convert to fraction form
    71,881.50/155,980.50 = 155,980.50/x
  3. Step 3: Cross multiply
    71,881.50x = 155,980.50 × 155,980.50
  4. Step 4: Simplify right side
    71,881.50x = 24,329,916,380.25
  5. Step 5: Solve for x
    x = 24,329,916,380.25/71,881.50
  6. Step 6: Final answer
    x = 338,472.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.