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Finding the Third Proportional to 317,864 and 480,034

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Solution

The third proportional to 317,864 and 480,034 is: 724,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,864 : 480,034 = 480,034 : x
  2. Step 2: Convert to fraction form
    317,864/480,034 = 480,034/x
  3. Step 3: Cross multiply
    317,864x = 480,034 × 480,034
  4. Step 4: Simplify right side
    317,864x = 230,432,641,156
  5. Step 5: Solve for x
    x = 230,432,641,156/317,864
  6. Step 6: Final answer
    x = 724,940.98

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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.