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Finding the Third Proportional to 218,320.31 and 326,136.38

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Solution

The third proportional to 218,320.31 and 326,136.38 is: 487,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,320.31 : 326,136.38 = 326,136.38 : x
  2. Step 2: Convert to fraction form
    218,320.31/326,136.38 = 326,136.38/x
  3. Step 3: Cross multiply
    218,320.31x = 326,136.38 × 326,136.38
  4. Step 4: Simplify right side
    218,320.31x = 106,364,935,098.14
  5. Step 5: Solve for x
    x = 106,364,935,098.14/218,320.31
  6. Step 6: Final answer
    x = 487,196.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.