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Finding the Third Proportional to 92,912 and 137,180

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Solution

The third proportional to 92,912 and 137,180 is: 202,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,912 : 137,180 = 137,180 : x
  2. Step 2: Convert to fraction form
    92,912/137,180 = 137,180/x
  3. Step 3: Cross multiply
    92,912x = 137,180 × 137,180
  4. Step 4: Simplify right side
    92,912x = 18,818,352,400
  5. Step 5: Solve for x
    x = 18,818,352,400/92,912
  6. Step 6: Final answer
    x = 202,539.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.