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Finding the Third Proportional to 400,454 and 711,876

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Solution

The third proportional to 400,454 and 711,876 is: 1,265,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,454 : 711,876 = 711,876 : x
  2. Step 2: Convert to fraction form
    400,454/711,876 = 711,876/x
  3. Step 3: Cross multiply
    400,454x = 711,876 × 711,876
  4. Step 4: Simplify right side
    400,454x = 506,767,439,376
  5. Step 5: Solve for x
    x = 506,767,439,376/400,454
  6. Step 6: Final answer
    x = 1,265,482.28

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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.