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Finding the Third Proportional to 688.13 and 791.06

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Solution

The third proportional to 688.13 and 791.06 is: 909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 791.06 = 791.06 : x
  2. Step 2: Convert to fraction form
    688.13/791.06 = 791.06/x
  3. Step 3: Cross multiply
    688.13x = 791.06 × 791.06
  4. Step 4: Simplify right side
    688.13x = 625,779.88
  5. Step 5: Solve for x
    x = 625,779.88/688.13
  6. Step 6: Final answer
    x = 909.40

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.