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Finding the Third Proportional to 542.95 and 1,189.05

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Solution

The third proportional to 542.95 and 1,189.05 is: 2,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.95 : 1,189.05 = 1,189.05 : x
  2. Step 2: Convert to fraction form
    542.95/1,189.05 = 1,189.05/x
  3. Step 3: Cross multiply
    542.95x = 1,189.05 × 1,189.05
  4. Step 4: Simplify right side
    542.95x = 1,413,851.05
  5. Step 5: Solve for x
    x = 1,413,851.05/542.95
  6. Step 6: Final answer
    x = 2,604.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.