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Finding the Third Proportional to 315,832 and 485,947

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Solution

The third proportional to 315,832 and 485,947 is: 747,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,832 : 485,947 = 485,947 : x
  2. Step 2: Convert to fraction form
    315,832/485,947 = 485,947/x
  3. Step 3: Cross multiply
    315,832x = 485,947 × 485,947
  4. Step 4: Simplify right side
    315,832x = 236,144,486,809
  5. Step 5: Solve for x
    x = 236,144,486,809/315,832
  6. Step 6: Final answer
    x = 747,690.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.