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Finding the Third Proportional to 77,668 and 116,382

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Solution

The third proportional to 77,668 and 116,382 is: 174,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668 : 116,382 = 116,382 : x
  2. Step 2: Convert to fraction form
    77,668/116,382 = 116,382/x
  3. Step 3: Cross multiply
    77,668x = 116,382 × 116,382
  4. Step 4: Simplify right side
    77,668x = 13,544,769,924
  5. Step 5: Solve for x
    x = 13,544,769,924/77,668
  6. Step 6: Final answer
    x = 174,393.19

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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.