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Finding the Third Proportional to 342.98 and 545.48

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Solution

The third proportional to 342.98 and 545.48 is: 867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 545.48 = 545.48 : x
  2. Step 2: Convert to fraction form
    342.98/545.48 = 545.48/x
  3. Step 3: Cross multiply
    342.98x = 545.48 × 545.48
  4. Step 4: Simplify right side
    342.98x = 297,553.20
  5. Step 5: Solve for x
    x = 297,553.20/342.98
  6. Step 6: Final answer
    x = 867.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.