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Finding the Third Proportional to 342,336 and 503,811

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Solution

The third proportional to 342,336 and 503,811 is: 741,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,336 : 503,811 = 503,811 : x
  2. Step 2: Convert to fraction form
    342,336/503,811 = 503,811/x
  3. Step 3: Cross multiply
    342,336x = 503,811 × 503,811
  4. Step 4: Simplify right side
    342,336x = 253,825,523,721
  5. Step 5: Solve for x
    x = 253,825,523,721/342,336
  6. Step 6: Final answer
    x = 741,451.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.