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Finding the Third Proportional to 317,853.38 and 480,020.25

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Solution

The third proportional to 317,853.38 and 480,020.25 is: 724,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,853.38 : 480,020.25 = 480,020.25 : x
  2. Step 2: Convert to fraction form
    317,853.38/480,020.25 = 480,020.25/x
  3. Step 3: Cross multiply
    317,853.38x = 480,020.25 × 480,020.25
  4. Step 4: Simplify right side
    317,853.38x = 230,419,440,410.06
  5. Step 5: Solve for x
    x = 230,419,440,410.06/317,853.38
  6. Step 6: Final answer
    x = 724,923.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.