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Finding the Third Proportional to 420,238.13 and 928,781.44

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Solution

The third proportional to 420,238.13 and 928,781.44 is: 2,052,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,238.13 : 928,781.44 = 928,781.44 : x
  2. Step 2: Convert to fraction form
    420,238.13/928,781.44 = 928,781.44/x
  3. Step 3: Cross multiply
    420,238.13x = 928,781.44 × 928,781.44
  4. Step 4: Simplify right side
    420,238.13x = 862,634,958,644.57
  5. Step 5: Solve for x
    x = 862,634,958,644.57/420,238.13
  6. Step 6: Final answer
    x = 2,052,728.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.