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Finding the Third Proportional to 205,600 and 328,080

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Solution

The third proportional to 205,600 and 328,080 is: 523,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,600 : 328,080 = 328,080 : x
  2. Step 2: Convert to fraction form
    205,600/328,080 = 328,080/x
  3. Step 3: Cross multiply
    205,600x = 328,080 × 328,080
  4. Step 4: Simplify right side
    205,600x = 107,636,486,400
  5. Step 5: Solve for x
    x = 107,636,486,400/205,600
  6. Step 6: Final answer
    x = 523,523.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.