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Finding the Third Proportional to 215,791 and 326,686

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Solution

The third proportional to 215,791 and 326,686 is: 494,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,791 : 326,686 = 326,686 : x
  2. Step 2: Convert to fraction form
    215,791/326,686 = 326,686/x
  3. Step 3: Cross multiply
    215,791x = 326,686 × 326,686
  4. Step 4: Simplify right side
    215,791x = 106,723,742,596
  5. Step 5: Solve for x
    x = 106,723,742,596/215,791
  6. Step 6: Final answer
    x = 494,569.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.