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Finding the Third Proportional to 259,632 and 400,912

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Solution

The third proportional to 259,632 and 400,912 is: 619,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,632 : 400,912 = 400,912 : x
  2. Step 2: Convert to fraction form
    259,632/400,912 = 400,912/x
  3. Step 3: Cross multiply
    259,632x = 400,912 × 400,912
  4. Step 4: Simplify right side
    259,632x = 160,730,431,744
  5. Step 5: Solve for x
    x = 160,730,431,744/259,632
  6. Step 6: Final answer
    x = 619,070.19

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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.