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Finding the Third Proportional to 315.47 and 484.24

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Solution

The third proportional to 315.47 and 484.24 is: 743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.47 : 484.24 = 484.24 : x
  2. Step 2: Convert to fraction form
    315.47/484.24 = 484.24/x
  3. Step 3: Cross multiply
    315.47x = 484.24 × 484.24
  4. Step 4: Simplify right side
    315.47x = 234,490.50
  5. Step 5: Solve for x
    x = 234,490.50/315.47
  6. Step 6: Final answer
    x = 743.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.