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Finding the Third Proportional to 127,580 and 187,679

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Solution

The third proportional to 127,580 and 187,679 is: 276,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,580 : 187,679 = 187,679 : x
  2. Step 2: Convert to fraction form
    127,580/187,679 = 187,679/x
  3. Step 3: Cross multiply
    127,580x = 187,679 × 187,679
  4. Step 4: Simplify right side
    127,580x = 35,223,407,041
  5. Step 5: Solve for x
    x = 35,223,407,041/127,580
  6. Step 6: Final answer
    x = 276,088.78

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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.