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Finding the Third Proportional to 315.94 and 487.44

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Solution

The third proportional to 315.94 and 487.44 is: 752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.94 : 487.44 = 487.44 : x
  2. Step 2: Convert to fraction form
    315.94/487.44 = 487.44/x
  3. Step 3: Cross multiply
    315.94x = 487.44 × 487.44
  4. Step 4: Simplify right side
    315.94x = 237,595.32
  5. Step 5: Solve for x
    x = 237,595.32/315.94
  6. Step 6: Final answer
    x = 752.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.