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Finding the Third Proportional to 147.88 and 315.88

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Solution

The third proportional to 147.88 and 315.88 is: 674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.88 : 315.88 = 315.88 : x
  2. Step 2: Convert to fraction form
    147.88/315.88 = 315.88/x
  3. Step 3: Cross multiply
    147.88x = 315.88 × 315.88
  4. Step 4: Simplify right side
    147.88x = 99,777.02
  5. Step 5: Solve for x
    x = 99,777.02/147.88
  6. Step 6: Final answer
    x = 674.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.