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Finding the Third Proportional to 126,605 and 200,478

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Solution

The third proportional to 126,605 and 200,478 is: 317,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,605 : 200,478 = 200,478 : x
  2. Step 2: Convert to fraction form
    126,605/200,478 = 200,478/x
  3. Step 3: Cross multiply
    126,605x = 200,478 × 200,478
  4. Step 4: Simplify right side
    126,605x = 40,191,428,484
  5. Step 5: Solve for x
    x = 40,191,428,484/126,605
  6. Step 6: Final answer
    x = 317,455.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.