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Finding the Third Proportional to 155,718 and 215,713

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Solution

The third proportional to 155,718 and 215,713 is: 298,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,718 : 215,713 = 215,713 : x
  2. Step 2: Convert to fraction form
    155,718/215,713 = 215,713/x
  3. Step 3: Cross multiply
    155,718x = 215,713 × 215,713
  4. Step 4: Simplify right side
    155,718x = 46,532,098,369
  5. Step 5: Solve for x
    x = 46,532,098,369/155,718
  6. Step 6: Final answer
    x = 298,822.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.