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Finding the Third Proportional to 78,377 and 117,382

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Solution

The third proportional to 78,377 and 117,382 is: 175,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,377 : 117,382 = 117,382 : x
  2. Step 2: Convert to fraction form
    78,377/117,382 = 117,382/x
  3. Step 3: Cross multiply
    78,377x = 117,382 × 117,382
  4. Step 4: Simplify right side
    78,377x = 13,778,533,924
  5. Step 5: Solve for x
    x = 13,778,533,924/78,377
  6. Step 6: Final answer
    x = 175,798.18

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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.