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Finding the Third Proportional to 547.20 and 830.94

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Solution

The third proportional to 547.20 and 830.94 is: 1,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 830.94 = 830.94 : x
  2. Step 2: Convert to fraction form
    547.20/830.94 = 830.94/x
  3. Step 3: Cross multiply
    547.20x = 830.94 × 830.94
  4. Step 4: Simplify right side
    547.20x = 690,457.13
  5. Step 5: Solve for x
    x = 690,457.13/547.20
  6. Step 6: Final answer
    x = 1,261.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.