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Finding the Third Proportional to 71,540 and 157,090

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Solution

The third proportional to 71,540 and 157,090 is: 344,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540 : 157,090 = 157,090 : x
  2. Step 2: Convert to fraction form
    71,540/157,090 = 157,090/x
  3. Step 3: Cross multiply
    71,540x = 157,090 × 157,090
  4. Step 4: Simplify right side
    71,540x = 24,677,268,100
  5. Step 5: Solve for x
    x = 24,677,268,100/71,540
  6. Step 6: Final answer
    x = 344,943.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.