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Finding the Third Proportional to 427,578.75 and 929,081.25

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Solution

The third proportional to 427,578.75 and 929,081.25 is: 2,018,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,578.75 : 929,081.25 = 929,081.25 : x
  2. Step 2: Convert to fraction form
    427,578.75/929,081.25 = 929,081.25/x
  3. Step 3: Cross multiply
    427,578.75x = 929,081.25 × 929,081.25
  4. Step 4: Simplify right side
    427,578.75x = 863,191,969,101.56
  5. Step 5: Solve for x
    x = 863,191,969,101.56/427,578.75
  6. Step 6: Final answer
    x = 2,018,790.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.