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Finding the Third Proportional to 421,230 and 908,886

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Solution

The third proportional to 421,230 and 908,886 is: 1,961,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,230 : 908,886 = 908,886 : x
  2. Step 2: Convert to fraction form
    421,230/908,886 = 908,886/x
  3. Step 3: Cross multiply
    421,230x = 908,886 × 908,886
  4. Step 4: Simplify right side
    421,230x = 826,073,760,996
  5. Step 5: Solve for x
    x = 826,073,760,996/421,230
  6. Step 6: Final answer
    x = 1,961,099.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.