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Finding the Third Proportional to 400,747 and 599,864

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Solution

The third proportional to 400,747 and 599,864 is: 897,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,747 : 599,864 = 599,864 : x
  2. Step 2: Convert to fraction form
    400,747/599,864 = 599,864/x
  3. Step 3: Cross multiply
    400,747x = 599,864 × 599,864
  4. Step 4: Simplify right side
    400,747x = 359,836,818,496
  5. Step 5: Solve for x
    x = 359,836,818,496/400,747
  6. Step 6: Final answer
    x = 897,915.19

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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.