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Finding the Third Proportional to 78,382 and 117,750

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Solution

The third proportional to 78,382 and 117,750 is: 176,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382 : 117,750 = 117,750 : x
  2. Step 2: Convert to fraction form
    78,382/117,750 = 117,750/x
  3. Step 3: Cross multiply
    78,382x = 117,750 × 117,750
  4. Step 4: Simplify right side
    78,382x = 13,865,062,500
  5. Step 5: Solve for x
    x = 13,865,062,500/78,382
  6. Step 6: Final answer
    x = 176,890.90

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