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Finding the Third Proportional to 826.03 and 1,281.76

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Solution

The third proportional to 826.03 and 1,281.76 is: 1,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.03 : 1,281.76 = 1,281.76 : x
  2. Step 2: Convert to fraction form
    826.03/1,281.76 = 1,281.76/x
  3. Step 3: Cross multiply
    826.03x = 1,281.76 × 1,281.76
  4. Step 4: Simplify right side
    826.03x = 1,642,913.10
  5. Step 5: Solve for x
    x = 1,642,913.10/826.03
  6. Step 6: Final answer
    x = 1,988.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.