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Finding the Third Proportional to 400,918 and 599,412

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Solution

The third proportional to 400,918 and 599,412 is: 896,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,918 : 599,412 = 599,412 : x
  2. Step 2: Convert to fraction form
    400,918/599,412 = 599,412/x
  3. Step 3: Cross multiply
    400,918x = 599,412 × 599,412
  4. Step 4: Simplify right side
    400,918x = 359,294,745,744
  5. Step 5: Solve for x
    x = 359,294,745,744/400,918
  6. Step 6: Final answer
    x = 896,180.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.