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Finding the Third Proportional to 275,237 and 387,597

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Solution

The third proportional to 275,237 and 387,597 is: 545,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,237 : 387,597 = 387,597 : x
  2. Step 2: Convert to fraction form
    275,237/387,597 = 387,597/x
  3. Step 3: Cross multiply
    275,237x = 387,597 × 387,597
  4. Step 4: Simplify right side
    275,237x = 150,231,434,409
  5. Step 5: Solve for x
    x = 150,231,434,409/275,237
  6. Step 6: Final answer
    x = 545,825.72

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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.