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Finding the Third Proportional to 77,496 and 115,940

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Solution

The third proportional to 77,496 and 115,940 is: 173,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,496 : 115,940 = 115,940 : x
  2. Step 2: Convert to fraction form
    77,496/115,940 = 115,940/x
  3. Step 3: Cross multiply
    77,496x = 115,940 × 115,940
  4. Step 4: Simplify right side
    77,496x = 13,442,083,600
  5. Step 5: Solve for x
    x = 13,442,083,600/77,496
  6. Step 6: Final answer
    x = 173,455.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.