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Finding the Third Proportional to 400,416 and 599,436

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Solution

The third proportional to 400,416 and 599,436 is: 897,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,416 : 599,436 = 599,436 : x
  2. Step 2: Convert to fraction form
    400,416/599,436 = 599,436/x
  3. Step 3: Cross multiply
    400,416x = 599,436 × 599,436
  4. Step 4: Simplify right side
    400,416x = 359,323,518,096
  5. Step 5: Solve for x
    x = 359,323,518,096/400,416
  6. Step 6: Final answer
    x = 897,375.52

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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.