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Finding the Third Proportional to 206,403.75 and 328,366.69

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Solution

The third proportional to 206,403.75 and 328,366.69 is: 522,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.75 : 328,366.69 = 328,366.69 : x
  2. Step 2: Convert to fraction form
    206,403.75/328,366.69 = 328,366.69/x
  3. Step 3: Cross multiply
    206,403.75x = 328,366.69 × 328,366.69
  4. Step 4: Simplify right side
    206,403.75x = 107,824,681,459.72
  5. Step 5: Solve for x
    x = 107,824,681,459.72/206,403.75
  6. Step 6: Final answer
    x = 522,396.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.