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Finding the Third Proportional to 215,826 and 338,566

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Solution

The third proportional to 215,826 and 338,566 is: 531,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,826 : 338,566 = 338,566 : x
  2. Step 2: Convert to fraction form
    215,826/338,566 = 338,566/x
  3. Step 3: Cross multiply
    215,826x = 338,566 × 338,566
  4. Step 4: Simplify right side
    215,826x = 114,626,936,356
  5. Step 5: Solve for x
    x = 114,626,936,356/215,826
  6. Step 6: Final answer
    x = 531,108.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.