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Finding the Third Proportional to 677.81 and 991.69

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Solution

The third proportional to 677.81 and 991.69 is: 1,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 991.69 = 991.69 : x
  2. Step 2: Convert to fraction form
    677.81/991.69 = 991.69/x
  3. Step 3: Cross multiply
    677.81x = 991.69 × 991.69
  4. Step 4: Simplify right side
    677.81x = 983,444.10
  5. Step 5: Solve for x
    x = 983,444.10/677.81
  6. Step 6: Final answer
    x = 1,450.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.