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Finding the Third Proportional to 781.69 and 1,684.88

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Solution

The third proportional to 781.69 and 1,684.88 is: 3,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.69 : 1,684.88 = 1,684.88 : x
  2. Step 2: Convert to fraction form
    781.69/1,684.88 = 1,684.88/x
  3. Step 3: Cross multiply
    781.69x = 1,684.88 × 1,684.88
  4. Step 4: Simplify right side
    781.69x = 2,838,803.77
  5. Step 5: Solve for x
    x = 2,838,803.77/781.69
  6. Step 6: Final answer
    x = 3,631.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.