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Finding the Third Proportional to 77,986.13 and 117,532.69

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Solution

The third proportional to 77,986.13 and 117,532.69 is: 177,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986.13 : 117,532.69 = 117,532.69 : x
  2. Step 2: Convert to fraction form
    77,986.13/117,532.69 = 117,532.69/x
  3. Step 3: Cross multiply
    77,986.13x = 117,532.69 × 117,532.69
  4. Step 4: Simplify right side
    77,986.13x = 13,813,932,630.97
  5. Step 5: Solve for x
    x = 13,813,932,630.97/77,986.13
  6. Step 6: Final answer
    x = 177,133.21

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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.