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Finding the Third Proportional to 259,830 and 566,680

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Solution

The third proportional to 259,830 and 566,680 is: 1,235,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,830 : 566,680 = 566,680 : x
  2. Step 2: Convert to fraction form
    259,830/566,680 = 566,680/x
  3. Step 3: Cross multiply
    259,830x = 566,680 × 566,680
  4. Step 4: Simplify right side
    259,830x = 321,126,222,400
  5. Step 5: Solve for x
    x = 321,126,222,400/259,830
  6. Step 6: Final answer
    x = 1,235,908.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.