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Finding the Third Proportional to 247.98 and 587.45

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Solution

The third proportional to 247.98 and 587.45 is: 1,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.98 : 587.45 = 587.45 : x
  2. Step 2: Convert to fraction form
    247.98/587.45 = 587.45/x
  3. Step 3: Cross multiply
    247.98x = 587.45 × 587.45
  4. Step 4: Simplify right side
    247.98x = 345,094.86
  5. Step 5: Solve for x
    x = 345,094.86/247.98
  6. Step 6: Final answer
    x = 1,391.60

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.