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Finding the Third Proportional to 548.02 and 881.93

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Solution

The third proportional to 548.02 and 881.93 is: 1,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 881.93 = 881.93 : x
  2. Step 2: Convert to fraction form
    548.02/881.93 = 881.93/x
  3. Step 3: Cross multiply
    548.02x = 881.93 × 881.93
  4. Step 4: Simplify right side
    548.02x = 777,799.97
  5. Step 5: Solve for x
    x = 777,799.97/548.02
  6. Step 6: Final answer
    x = 1,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.