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Finding the Third Proportional to 317,478 and 479,457

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Solution

The third proportional to 317,478 and 479,457 is: 724,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,478 : 479,457 = 479,457 : x
  2. Step 2: Convert to fraction form
    317,478/479,457 = 479,457/x
  3. Step 3: Cross multiply
    317,478x = 479,457 × 479,457
  4. Step 4: Simplify right side
    317,478x = 229,879,014,849
  5. Step 5: Solve for x
    x = 229,879,014,849/317,478
  6. Step 6: Final answer
    x = 724,078.57

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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.