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Finding the Third Proportional to 770.20 and 1,251.42

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Solution

The third proportional to 770.20 and 1,251.42 is: 2,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.20 : 1,251.42 = 1,251.42 : x
  2. Step 2: Convert to fraction form
    770.20/1,251.42 = 1,251.42/x
  3. Step 3: Cross multiply
    770.20x = 1,251.42 × 1,251.42
  4. Step 4: Simplify right side
    770.20x = 1,566,056.71
  5. Step 5: Solve for x
    x = 1,566,056.71/770.20
  6. Step 6: Final answer
    x = 2,033.30

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.