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Finding the Third Proportional to 676.13 and 988.52

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Solution

The third proportional to 676.13 and 988.52 is: 1,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.13 : 988.52 = 988.52 : x
  2. Step 2: Convert to fraction form
    676.13/988.52 = 988.52/x
  3. Step 3: Cross multiply
    676.13x = 988.52 × 988.52
  4. Step 4: Simplify right side
    676.13x = 977,178.59
  5. Step 5: Solve for x
    x = 977,178.59/676.13
  6. Step 6: Final answer
    x = 1,445.26

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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.