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Finding the Third Proportional to 342,474 and 545,421

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Solution

The third proportional to 342,474 and 545,421 is: 868,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,474 : 545,421 = 545,421 : x
  2. Step 2: Convert to fraction form
    342,474/545,421 = 545,421/x
  3. Step 3: Cross multiply
    342,474x = 545,421 × 545,421
  4. Step 4: Simplify right side
    342,474x = 297,484,067,241
  5. Step 5: Solve for x
    x = 297,484,067,241/342,474
  6. Step 6: Final answer
    x = 868,632.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.