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Finding the Third Proportional to 414,154 and 903,279

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Solution

The third proportional to 414,154 and 903,279 is: 1,970,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,154 : 903,279 = 903,279 : x
  2. Step 2: Convert to fraction form
    414,154/903,279 = 903,279/x
  3. Step 3: Cross multiply
    414,154x = 903,279 × 903,279
  4. Step 4: Simplify right side
    414,154x = 815,912,951,841
  5. Step 5: Solve for x
    x = 815,912,951,841/414,154
  6. Step 6: Final answer
    x = 1,970,071.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.