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Finding the Third Proportional to 548.19 and 867.88

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Solution

The third proportional to 548.19 and 867.88 is: 1,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 867.88 = 867.88 : x
  2. Step 2: Convert to fraction form
    548.19/867.88 = 867.88/x
  3. Step 3: Cross multiply
    548.19x = 867.88 × 867.88
  4. Step 4: Simplify right side
    548.19x = 753,207.02
  5. Step 5: Solve for x
    x = 753,207.02/548.19
  6. Step 6: Final answer
    x = 1,374.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.