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Finding the Third Proportional to 71,883 and 155,983

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Solution

The third proportional to 71,883 and 155,983 is: 338,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,883 : 155,983 = 155,983 : x
  2. Step 2: Convert to fraction form
    71,883/155,983 = 155,983/x
  3. Step 3: Cross multiply
    71,883x = 155,983 × 155,983
  4. Step 4: Simplify right side
    71,883x = 24,330,696,289
  5. Step 5: Solve for x
    x = 24,330,696,289/71,883
  6. Step 6: Final answer
    x = 338,476.36

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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.