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Finding the Third Proportional to 779.84 and 881.09

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Solution

The third proportional to 779.84 and 881.09 is: 995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.84 : 881.09 = 881.09 : x
  2. Step 2: Convert to fraction form
    779.84/881.09 = 881.09/x
  3. Step 3: Cross multiply
    779.84x = 881.09 × 881.09
  4. Step 4: Simplify right side
    779.84x = 776,312.43
  5. Step 5: Solve for x
    x = 776,312.43/779.84
  6. Step 6: Final answer
    x = 995.48

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.