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Finding the Third Proportional to 193,540 and 428,552

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Solution

The third proportional to 193,540 and 428,552 is: 948,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,540 : 428,552 = 428,552 : x
  2. Step 2: Convert to fraction form
    193,540/428,552 = 428,552/x
  3. Step 3: Cross multiply
    193,540x = 428,552 × 428,552
  4. Step 4: Simplify right side
    193,540x = 183,656,816,704
  5. Step 5: Solve for x
    x = 183,656,816,704/193,540
  6. Step 6: Final answer
    x = 948,934.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.