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Finding the Third Proportional to 315.63 and 444.13

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Solution

The third proportional to 315.63 and 444.13 is: 624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.63 : 444.13 = 444.13 : x
  2. Step 2: Convert to fraction form
    315.63/444.13 = 444.13/x
  3. Step 3: Cross multiply
    315.63x = 444.13 × 444.13
  4. Step 4: Simplify right side
    315.63x = 197,247.02
  5. Step 5: Solve for x
    x = 197,247.02/315.63
  6. Step 6: Final answer
    x = 624.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.