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Finding the Third Proportional to 691.13 and 1,535.81

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Solution

The third proportional to 691.13 and 1,535.81 is: 3,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.13 : 1,535.81 = 1,535.81 : x
  2. Step 2: Convert to fraction form
    691.13/1,535.81 = 1,535.81/x
  3. Step 3: Cross multiply
    691.13x = 1,535.81 × 1,535.81
  4. Step 4: Simplify right side
    691.13x = 2,358,720.04
  5. Step 5: Solve for x
    x = 2,358,720.04/691.13
  6. Step 6: Final answer
    x = 3,412.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.