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Finding the Third Proportional to 126,470 and 190,540

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Solution

The third proportional to 126,470 and 190,540 is: 287,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,470 : 190,540 = 190,540 : x
  2. Step 2: Convert to fraction form
    126,470/190,540 = 190,540/x
  3. Step 3: Cross multiply
    126,470x = 190,540 × 190,540
  4. Step 4: Simplify right side
    126,470x = 36,305,491,600
  5. Step 5: Solve for x
    x = 36,305,491,600/126,470
  6. Step 6: Final answer
    x = 287,068.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.