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Finding the Third Proportional to 213,540 and 453,418

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Solution

The third proportional to 213,540 and 453,418 is: 962,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,540 : 453,418 = 453,418 : x
  2. Step 2: Convert to fraction form
    213,540/453,418 = 453,418/x
  3. Step 3: Cross multiply
    213,540x = 453,418 × 453,418
  4. Step 4: Simplify right side
    213,540x = 205,587,882,724
  5. Step 5: Solve for x
    x = 205,587,882,724/213,540
  6. Step 6: Final answer
    x = 962,760.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.