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Finding the Third Proportional to 578,876 and 894,567

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Solution

The third proportional to 578,876 and 894,567 is: 1,382,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,876 : 894,567 = 894,567 : x
  2. Step 2: Convert to fraction form
    578,876/894,567 = 894,567/x
  3. Step 3: Cross multiply
    578,876x = 894,567 × 894,567
  4. Step 4: Simplify right side
    578,876x = 800,250,117,489
  5. Step 5: Solve for x
    x = 800,250,117,489/578,876
  6. Step 6: Final answer
    x = 1,382,420.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.