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Finding the Third Proportional to 92,024 and 137,486

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Solution

The third proportional to 92,024 and 137,486 is: 205,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,024 : 137,486 = 137,486 : x
  2. Step 2: Convert to fraction form
    92,024/137,486 = 137,486/x
  3. Step 3: Cross multiply
    92,024x = 137,486 × 137,486
  4. Step 4: Simplify right side
    92,024x = 18,902,400,196
  5. Step 5: Solve for x
    x = 18,902,400,196/92,024
  6. Step 6: Final answer
    x = 205,407.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.