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Finding the Third Proportional to 314.58 and 372.45

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Solution

The third proportional to 314.58 and 372.45 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.58 : 372.45 = 372.45 : x
  2. Step 2: Convert to fraction form
    314.58/372.45 = 372.45/x
  3. Step 3: Cross multiply
    314.58x = 372.45 × 372.45
  4. Step 4: Simplify right side
    314.58x = 138,715.51
  5. Step 5: Solve for x
    x = 138,715.51/314.58
  6. Step 6: Final answer
    x = 440.96

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.