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Finding the Third Proportional to 101,920 and 157,424

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Solution

The third proportional to 101,920 and 157,424 is: 243,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,920 : 157,424 = 157,424 : x
  2. Step 2: Convert to fraction form
    101,920/157,424 = 157,424/x
  3. Step 3: Cross multiply
    101,920x = 157,424 × 157,424
  4. Step 4: Simplify right side
    101,920x = 24,782,315,776
  5. Step 5: Solve for x
    x = 24,782,315,776/101,920
  6. Step 6: Final answer
    x = 243,154.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.