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Finding the Third Proportional to 253,479.38 and 513,951.75

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Solution

The third proportional to 253,479.38 and 513,951.75 is: 1,042,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,479.38 : 513,951.75 = 513,951.75 : x
  2. Step 2: Convert to fraction form
    253,479.38/513,951.75 = 513,951.75/x
  3. Step 3: Cross multiply
    253,479.38x = 513,951.75 × 513,951.75
  4. Step 4: Simplify right side
    253,479.38x = 264,146,401,328.06
  5. Step 5: Solve for x
    x = 264,146,401,328.06/253,479.38
  6. Step 6: Final answer
    x = 1,042,082.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.