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Finding the Third Proportional to 199,038 and 420,540

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Solution

The third proportional to 199,038 and 420,540 is: 888,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,038 : 420,540 = 420,540 : x
  2. Step 2: Convert to fraction form
    199,038/420,540 = 420,540/x
  3. Step 3: Cross multiply
    199,038x = 420,540 × 420,540
  4. Step 4: Simplify right side
    199,038x = 176,853,891,600
  5. Step 5: Solve for x
    x = 176,853,891,600/199,038
  6. Step 6: Final answer
    x = 888,543.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.