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Finding the Third Proportional to 765.70 and 1,213.10

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Solution

The third proportional to 765.70 and 1,213.10 is: 1,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.70 : 1,213.10 = 1,213.10 : x
  2. Step 2: Convert to fraction form
    765.70/1,213.10 = 1,213.10/x
  3. Step 3: Cross multiply
    765.70x = 1,213.10 × 1,213.10
  4. Step 4: Simplify right side
    765.70x = 1,471,615.40
  5. Step 5: Solve for x
    x = 1,471,615.40/765.70
  6. Step 6: Final answer
    x = 1,921.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.