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Finding the Third Proportional to 317,857 and 480,025

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Solution

The third proportional to 317,857 and 480,025 is: 724,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,857 : 480,025 = 480,025 : x
  2. Step 2: Convert to fraction form
    317,857/480,025 = 480,025/x
  3. Step 3: Cross multiply
    317,857x = 480,025 × 480,025
  4. Step 4: Simplify right side
    317,857x = 230,424,000,625
  5. Step 5: Solve for x
    x = 230,424,000,625/317,857
  6. Step 6: Final answer
    x = 724,929.77

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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.