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Finding the Third Proportional to 400,436 and 711,832

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Solution

The third proportional to 400,436 and 711,832 is: 1,265,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,436 : 711,832 = 711,832 : x
  2. Step 2: Convert to fraction form
    400,436/711,832 = 711,832/x
  3. Step 3: Cross multiply
    400,436x = 711,832 × 711,832
  4. Step 4: Simplify right side
    400,436x = 506,704,796,224
  5. Step 5: Solve for x
    x = 506,704,796,224/400,436
  6. Step 6: Final answer
    x = 1,265,382.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.