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Finding the Third Proportional to 418,615 and 908,125

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Solution

The third proportional to 418,615 and 908,125 is: 1,970,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,615 : 908,125 = 908,125 : x
  2. Step 2: Convert to fraction form
    418,615/908,125 = 908,125/x
  3. Step 3: Cross multiply
    418,615x = 908,125 × 908,125
  4. Step 4: Simplify right side
    418,615x = 824,691,015,625
  5. Step 5: Solve for x
    x = 824,691,015,625/418,615
  6. Step 6: Final answer
    x = 1,970,046.50

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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.