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Finding the Third Proportional to 101,720 and 157,372

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Solution

The third proportional to 101,720 and 157,372 is: 243,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,720 : 157,372 = 157,372 : x
  2. Step 2: Convert to fraction form
    101,720/157,372 = 157,372/x
  3. Step 3: Cross multiply
    101,720x = 157,372 × 157,372
  4. Step 4: Simplify right side
    101,720x = 24,765,946,384
  5. Step 5: Solve for x
    x = 24,765,946,384/101,720
  6. Step 6: Final answer
    x = 243,471.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.