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Finding the Third Proportional to 691.88 and 977.91

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Solution

The third proportional to 691.88 and 977.91 is: 1,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.88 : 977.91 = 977.91 : x
  2. Step 2: Convert to fraction form
    691.88/977.91 = 977.91/x
  3. Step 3: Cross multiply
    691.88x = 977.91 × 977.91
  4. Step 4: Simplify right side
    691.88x = 956,300.63
  5. Step 5: Solve for x
    x = 956,300.63/691.88
  6. Step 6: Final answer
    x = 1,382.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.