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Finding the Third Proportional to 126,557 and 187,890

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Solution

The third proportional to 126,557 and 187,890 is: 278,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,557 : 187,890 = 187,890 : x
  2. Step 2: Convert to fraction form
    126,557/187,890 = 187,890/x
  3. Step 3: Cross multiply
    126,557x = 187,890 × 187,890
  4. Step 4: Simplify right side
    126,557x = 35,302,652,100
  5. Step 5: Solve for x
    x = 35,302,652,100/126,557
  6. Step 6: Final answer
    x = 278,946.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.