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Finding the Third Proportional to 343,524 and 545,142

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Solution

The third proportional to 343,524 and 545,142 is: 865,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,524 : 545,142 = 545,142 : x
  2. Step 2: Convert to fraction form
    343,524/545,142 = 545,142/x
  3. Step 3: Cross multiply
    343,524x = 545,142 × 545,142
  4. Step 4: Simplify right side
    343,524x = 297,179,800,164
  5. Step 5: Solve for x
    x = 297,179,800,164/343,524
  6. Step 6: Final answer
    x = 865,091.81

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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.