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Finding the Third Proportional to 392,421.75 and 588,632.75

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Solution

The third proportional to 392,421.75 and 588,632.75 is: 882,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,421.75 : 588,632.75 = 588,632.75 : x
  2. Step 2: Convert to fraction form
    392,421.75/588,632.75 = 588,632.75/x
  3. Step 3: Cross multiply
    392,421.75x = 588,632.75 × 588,632.75
  4. Step 4: Simplify right side
    392,421.75x = 346,488,514,372.56
  5. Step 5: Solve for x
    x = 346,488,514,372.56/392,421.75
  6. Step 6: Final answer
    x = 882,949.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.