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Finding the Third Proportional to 77,332 and 117,617

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Solution

The third proportional to 77,332 and 117,617 is: 178,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,332 : 117,617 = 117,617 : x
  2. Step 2: Convert to fraction form
    77,332/117,617 = 117,617/x
  3. Step 3: Cross multiply
    77,332x = 117,617 × 117,617
  4. Step 4: Simplify right side
    77,332x = 13,833,758,689
  5. Step 5: Solve for x
    x = 13,833,758,689/77,332
  6. Step 6: Final answer
    x = 178,887.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.