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Finding the Third Proportional to 257,524.69 and 378,842.34

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Solution

The third proportional to 257,524.69 and 378,842.34 is: 557,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,524.69 : 378,842.34 = 378,842.34 : x
  2. Step 2: Convert to fraction form
    257,524.69/378,842.34 = 378,842.34/x
  3. Step 3: Cross multiply
    257,524.69x = 378,842.34 × 378,842.34
  4. Step 4: Simplify right side
    257,524.69x = 143,521,521,417.99
  5. Step 5: Solve for x
    x = 143,521,521,417.99/257,524.69
  6. Step 6: Final answer
    x = 557,311.70

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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.