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Finding the Third Proportional to 77,979.50 and 117,523

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Solution

The third proportional to 77,979.50 and 117,523 is: 177,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,979.50 : 117,523 = 117,523 : x
  2. Step 2: Convert to fraction form
    77,979.50/117,523 = 117,523/x
  3. Step 3: Cross multiply
    77,979.50x = 117,523 × 117,523
  4. Step 4: Simplify right side
    77,979.50x = 13,811,655,529
  5. Step 5: Solve for x
    x = 13,811,655,529/77,979.50
  6. Step 6: Final answer
    x = 177,119.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.