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Finding the Third Proportional to 315,837 and 485,954

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Solution

The third proportional to 315,837 and 485,954 is: 747,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,837 : 485,954 = 485,954 : x
  2. Step 2: Convert to fraction form
    315,837/485,954 = 485,954/x
  3. Step 3: Cross multiply
    315,837x = 485,954 × 485,954
  4. Step 4: Simplify right side
    315,837x = 236,151,290,116
  5. Step 5: Solve for x
    x = 236,151,290,116/315,837
  6. Step 6: Final answer
    x = 747,699.89

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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.