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Finding the Third Proportional to 342,338 and 503,814

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Solution

The third proportional to 342,338 and 503,814 is: 741,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,338 : 503,814 = 503,814 : x
  2. Step 2: Convert to fraction form
    342,338/503,814 = 503,814/x
  3. Step 3: Cross multiply
    342,338x = 503,814 × 503,814
  4. Step 4: Simplify right side
    342,338x = 253,828,546,596
  5. Step 5: Solve for x
    x = 253,828,546,596/342,338
  6. Step 6: Final answer
    x = 741,455.95

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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.