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Finding the Third Proportional to 427,809.09 and 929,520.56

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Solution

The third proportional to 427,809.09 and 929,520.56 is: 2,019,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,809.09 : 929,520.56 = 929,520.56 : x
  2. Step 2: Convert to fraction form
    427,809.09/929,520.56 = 929,520.56/x
  3. Step 3: Cross multiply
    427,809.09x = 929,520.56 × 929,520.56
  4. Step 4: Simplify right side
    427,809.09x = 864,008,476,110.32
  5. Step 5: Solve for x
    x = 864,008,476,110.32/427,809.09
  6. Step 6: Final answer
    x = 2,019,612.23

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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.