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Finding the Third Proportional to 314.13 and 489.44

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Solution

The third proportional to 314.13 and 489.44 is: 762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 489.44 = 489.44 : x
  2. Step 2: Convert to fraction form
    314.13/489.44 = 489.44/x
  3. Step 3: Cross multiply
    314.13x = 489.44 × 489.44
  4. Step 4: Simplify right side
    314.13x = 239,549.07
  5. Step 5: Solve for x
    x = 239,549.07/314.13
  6. Step 6: Final answer
    x = 762.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.