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Finding the Third Proportional to 315 and 454.43

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Solution

The third proportional to 315 and 454.43 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 454.43 = 454.43 : x
  2. Step 2: Convert to fraction form
    315/454.43 = 454.43/x
  3. Step 3: Cross multiply
    315x = 454.43 × 454.43
  4. Step 4: Simplify right side
    315x = 206,506.34
  5. Step 5: Solve for x
    x = 206,506.34/315
  6. Step 6: Final answer
    x = 655.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.