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Finding the Third Proportional to 275,238 and 387,585

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Solution

The third proportional to 275,238 and 387,585 is: 545,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,238 : 387,585 = 387,585 : x
  2. Step 2: Convert to fraction form
    275,238/387,585 = 387,585/x
  3. Step 3: Cross multiply
    275,238x = 387,585 × 387,585
  4. Step 4: Simplify right side
    275,238x = 150,222,132,225
  5. Step 5: Solve for x
    x = 150,222,132,225/275,238
  6. Step 6: Final answer
    x = 545,789.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.