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Finding the Third Proportional to 83,952 and 117,368

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Solution

The third proportional to 83,952 and 117,368 is: 164,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952 : 117,368 = 117,368 : x
  2. Step 2: Convert to fraction form
    83,952/117,368 = 117,368/x
  3. Step 3: Cross multiply
    83,952x = 117,368 × 117,368
  4. Step 4: Simplify right side
    83,952x = 13,775,247,424
  5. Step 5: Solve for x
    x = 13,775,247,424/83,952
  6. Step 6: Final answer
    x = 164,084.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.