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Finding the Third Proportional to 415,467 and 918,126

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Solution

The third proportional to 415,467 and 918,126 is: 2,028,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,467 : 918,126 = 918,126 : x
  2. Step 2: Convert to fraction form
    415,467/918,126 = 918,126/x
  3. Step 3: Cross multiply
    415,467x = 918,126 × 918,126
  4. Step 4: Simplify right side
    415,467x = 842,955,351,876
  5. Step 5: Solve for x
    x = 842,955,351,876/415,467
  6. Step 6: Final answer
    x = 2,028,934.55

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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.