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Finding the Third Proportional to 253,471.78 and 392,338.69

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Solution

The third proportional to 253,471.78 and 392,338.69 is: 607,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.78 : 392,338.69 = 392,338.69 : x
  2. Step 2: Convert to fraction form
    253,471.78/392,338.69 = 392,338.69/x
  3. Step 3: Cross multiply
    253,471.78x = 392,338.69 × 392,338.69
  4. Step 4: Simplify right side
    253,471.78x = 153,929,645,709.22
  5. Step 5: Solve for x
    x = 153,929,645,709.22/253,471.78
  6. Step 6: Final answer
    x = 607,285.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.