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Finding the Third Proportional to 83,390 and 117,435

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Solution

The third proportional to 83,390 and 117,435 is: 165,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,390 : 117,435 = 117,435 : x
  2. Step 2: Convert to fraction form
    83,390/117,435 = 117,435/x
  3. Step 3: Cross multiply
    83,390x = 117,435 × 117,435
  4. Step 4: Simplify right side
    83,390x = 13,790,979,225
  5. Step 5: Solve for x
    x = 13,790,979,225/83,390
  6. Step 6: Final answer
    x = 165,379.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.