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Finding the Third Proportional to 765.07 and 1,269.11

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Solution

The third proportional to 765.07 and 1,269.11 is: 2,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.07 : 1,269.11 = 1,269.11 : x
  2. Step 2: Convert to fraction form
    765.07/1,269.11 = 1,269.11/x
  3. Step 3: Cross multiply
    765.07x = 1,269.11 × 1,269.11
  4. Step 4: Simplify right side
    765.07x = 1,610,628.69
  5. Step 5: Solve for x
    x = 1,610,628.69/765.07
  6. Step 6: Final answer
    x = 2,105.20

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.