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Finding the Third Proportional to 830.88 and 1,747.20

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Solution

The third proportional to 830.88 and 1,747.20 is: 3,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.88 : 1,747.20 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    830.88/1,747.20 = 1,747.20/x
  3. Step 3: Cross multiply
    830.88x = 1,747.20 × 1,747.20
  4. Step 4: Simplify right side
    830.88x = 3,052,691.46
  5. Step 5: Solve for x
    x = 3,052,691.46/830.88
  6. Step 6: Final answer
    x = 3,674.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.