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Finding the Third Proportional to 474.75 and 838.13

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Solution

The third proportional to 474.75 and 838.13 is: 1,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.75 : 838.13 = 838.13 : x
  2. Step 2: Convert to fraction form
    474.75/838.13 = 838.13/x
  3. Step 3: Cross multiply
    474.75x = 838.13 × 838.13
  4. Step 4: Simplify right side
    474.75x = 702,453.52
  5. Step 5: Solve for x
    x = 702,453.52/474.75
  6. Step 6: Final answer
    x = 1,479.63

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.