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Finding the Third Proportional to 157,972 and 251,113

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Solution

The third proportional to 157,972 and 251,113 is: 399,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,972 : 251,113 = 251,113 : x
  2. Step 2: Convert to fraction form
    157,972/251,113 = 251,113/x
  3. Step 3: Cross multiply
    157,972x = 251,113 × 251,113
  4. Step 4: Simplify right side
    157,972x = 63,057,738,769
  5. Step 5: Solve for x
    x = 63,057,738,769/157,972
  6. Step 6: Final answer
    x = 399,170.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.