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Finding the Third Proportional to 317,890 and 694,832

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Solution

The third proportional to 317,890 and 694,832 is: 1,518,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,890 : 694,832 = 694,832 : x
  2. Step 2: Convert to fraction form
    317,890/694,832 = 694,832/x
  3. Step 3: Cross multiply
    317,890x = 694,832 × 694,832
  4. Step 4: Simplify right side
    317,890x = 482,791,508,224
  5. Step 5: Solve for x
    x = 482,791,508,224/317,890
  6. Step 6: Final answer
    x = 1,518,737.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.