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Finding the Third Proportional to 215,557 and 326,317

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Solution

The third proportional to 215,557 and 326,317 is: 493,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,557 : 326,317 = 326,317 : x
  2. Step 2: Convert to fraction form
    215,557/326,317 = 326,317/x
  3. Step 3: Cross multiply
    215,557x = 326,317 × 326,317
  4. Step 4: Simplify right side
    215,557x = 106,482,784,489
  5. Step 5: Solve for x
    x = 106,482,784,489/215,557
  6. Step 6: Final answer
    x = 493,988.99

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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.