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Finding the Third Proportional to 314.75 and 482.13

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Solution

The third proportional to 314.75 and 482.13 is: 738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 482.13 = 482.13 : x
  2. Step 2: Convert to fraction form
    314.75/482.13 = 482.13/x
  3. Step 3: Cross multiply
    314.75x = 482.13 × 482.13
  4. Step 4: Simplify right side
    314.75x = 232,444.52
  5. Step 5: Solve for x
    x = 232,444.52/314.75
  6. Step 6: Final answer
    x = 738.51

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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.