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Finding the Third Proportional to 315 and 487.88

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Solution

The third proportional to 315 and 487.88 is: 755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 487.88 = 487.88 : x
  2. Step 2: Convert to fraction form
    315/487.88 = 487.88/x
  3. Step 3: Cross multiply
    315x = 487.88 × 487.88
  4. Step 4: Simplify right side
    315x = 238,022.02
  5. Step 5: Solve for x
    x = 238,022.02/315
  6. Step 6: Final answer
    x = 755.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.