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Finding the Third Proportional to 157,970 and 251,110

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Solution

The third proportional to 157,970 and 251,110 is: 399,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,970 : 251,110 = 251,110 : x
  2. Step 2: Convert to fraction form
    157,970/251,110 = 251,110/x
  3. Step 3: Cross multiply
    157,970x = 251,110 × 251,110
  4. Step 4: Simplify right side
    157,970x = 63,056,232,100
  5. Step 5: Solve for x
    x = 63,056,232,100/157,970
  6. Step 6: Final answer
    x = 399,165.87

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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.