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Finding the Third Proportional to 317,892 and 480,078

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Solution

The third proportional to 317,892 and 480,078 is: 725,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,892 : 480,078 = 480,078 : x
  2. Step 2: Convert to fraction form
    317,892/480,078 = 480,078/x
  3. Step 3: Cross multiply
    317,892x = 480,078 × 480,078
  4. Step 4: Simplify right side
    317,892x = 230,474,886,084
  5. Step 5: Solve for x
    x = 230,474,886,084/317,892
  6. Step 6: Final answer
    x = 725,010.02

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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.