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Finding the Third Proportional to 317,208 and 485,859

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Solution

The third proportional to 317,208 and 485,859 is: 744,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,208 : 485,859 = 485,859 : x
  2. Step 2: Convert to fraction form
    317,208/485,859 = 485,859/x
  3. Step 3: Cross multiply
    317,208x = 485,859 × 485,859
  4. Step 4: Simplify right side
    317,208x = 236,058,967,881
  5. Step 5: Solve for x
    x = 236,058,967,881/317,208
  6. Step 6: Final answer
    x = 744,177.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.