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Finding the Third Proportional to 691.31 and 1,215.56

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Solution

The third proportional to 691.31 and 1,215.56 is: 2,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.31 : 1,215.56 = 1,215.56 : x
  2. Step 2: Convert to fraction form
    691.31/1,215.56 = 1,215.56/x
  3. Step 3: Cross multiply
    691.31x = 1,215.56 × 1,215.56
  4. Step 4: Simplify right side
    691.31x = 1,477,592.19
  5. Step 5: Solve for x
    x = 1,477,592.19/691.31
  6. Step 6: Final answer
    x = 2,137.37

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.