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Finding the Third Proportional to 216,070 and 327,086

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Solution

The third proportional to 216,070 and 327,086 is: 495,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,070 : 327,086 = 327,086 : x
  2. Step 2: Convert to fraction form
    216,070/327,086 = 327,086/x
  3. Step 3: Cross multiply
    216,070x = 327,086 × 327,086
  4. Step 4: Simplify right side
    216,070x = 106,985,251,396
  5. Step 5: Solve for x
    x = 106,985,251,396/216,070
  6. Step 6: Final answer
    x = 495,141.63

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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.