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Finding the Third Proportional to 92,552 and 137,100

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Solution

The third proportional to 92,552 and 137,100 is: 203,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,552 : 137,100 = 137,100 : x
  2. Step 2: Convert to fraction form
    92,552/137,100 = 137,100/x
  3. Step 3: Cross multiply
    92,552x = 137,100 × 137,100
  4. Step 4: Simplify right side
    92,552x = 18,796,410,000
  5. Step 5: Solve for x
    x = 18,796,410,000/92,552
  6. Step 6: Final answer
    x = 203,090.26

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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.