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Finding the Third Proportional to 317,853 and 480,020

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Solution

The third proportional to 317,853 and 480,020 is: 724,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,853 : 480,020 = 480,020 : x
  2. Step 2: Convert to fraction form
    317,853/480,020 = 480,020/x
  3. Step 3: Cross multiply
    317,853x = 480,020 × 480,020
  4. Step 4: Simplify right side
    317,853x = 230,419,200,400
  5. Step 5: Solve for x
    x = 230,419,200,400/317,853
  6. Step 6: Final answer
    x = 724,923.79

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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.