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Finding the Third Proportional to 347,940 and 533,142

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Solution

The third proportional to 347,940 and 533,142 is: 816,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,940 : 533,142 = 533,142 : x
  2. Step 2: Convert to fraction form
    347,940/533,142 = 533,142/x
  3. Step 3: Cross multiply
    347,940x = 533,142 × 533,142
  4. Step 4: Simplify right side
    347,940x = 284,240,392,164
  5. Step 5: Solve for x
    x = 284,240,392,164/347,940
  6. Step 6: Final answer
    x = 816,923.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.