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Finding the Third Proportional to 397,431 and 599,881.50

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Solution

The third proportional to 397,431 and 599,881.50 is: 905,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,431 : 599,881.50 = 599,881.50 : x
  2. Step 2: Convert to fraction form
    397,431/599,881.50 = 599,881.50/x
  3. Step 3: Cross multiply
    397,431x = 599,881.50 × 599,881.50
  4. Step 4: Simplify right side
    397,431x = 359,857,814,042.25
  5. Step 5: Solve for x
    x = 359,857,814,042.25/397,431
  6. Step 6: Final answer
    x = 905,459.85

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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.