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Finding the Third Proportional to 422,908.88 and 915,936.75

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Solution

The third proportional to 422,908.88 and 915,936.75 is: 1,983,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,908.88 : 915,936.75 = 915,936.75 : x
  2. Step 2: Convert to fraction form
    422,908.88/915,936.75 = 915,936.75/x
  3. Step 3: Cross multiply
    422,908.88x = 915,936.75 × 915,936.75
  4. Step 4: Simplify right side
    422,908.88x = 838,940,130,000.56
  5. Step 5: Solve for x
    x = 838,940,130,000.56/422,908.88
  6. Step 6: Final answer
    x = 1,983,737.35

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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.