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Finding the Third Proportional to 86,762 and 127,407

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Solution

The third proportional to 86,762 and 127,407 is: 187,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,762 : 127,407 = 127,407 : x
  2. Step 2: Convert to fraction form
    86,762/127,407 = 127,407/x
  3. Step 3: Cross multiply
    86,762x = 127,407 × 127,407
  4. Step 4: Simplify right side
    86,762x = 16,232,543,649
  5. Step 5: Solve for x
    x = 16,232,543,649/86,762
  6. Step 6: Final answer
    x = 187,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.