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Finding the Third Proportional to 765.50 and 1,778.50

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Solution

The third proportional to 765.50 and 1,778.50 is: 4,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,778.50 = 1,778.50 : x
  2. Step 2: Convert to fraction form
    765.50/1,778.50 = 1,778.50/x
  3. Step 3: Cross multiply
    765.50x = 1,778.50 × 1,778.50
  4. Step 4: Simplify right side
    765.50x = 3,163,062.25
  5. Step 5: Solve for x
    x = 3,163,062.25/765.50
  6. Step 6: Final answer
    x = 4,132.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.