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Finding the Third Proportional to 542.95 and 866.95

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Solution

The third proportional to 542.95 and 866.95 is: 1,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.95 : 866.95 = 866.95 : x
  2. Step 2: Convert to fraction form
    542.95/866.95 = 866.95/x
  3. Step 3: Cross multiply
    542.95x = 866.95 × 866.95
  4. Step 4: Simplify right side
    542.95x = 751,607.72
  5. Step 5: Solve for x
    x = 751,607.72/542.95
  6. Step 6: Final answer
    x = 1,384.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.