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Finding the Third Proportional to 421,226 and 909,892

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Solution

The third proportional to 421,226 and 909,892 is: 1,965,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,226 : 909,892 = 909,892 : x
  2. Step 2: Convert to fraction form
    421,226/909,892 = 909,892/x
  3. Step 3: Cross multiply
    421,226x = 909,892 × 909,892
  4. Step 4: Simplify right side
    421,226x = 827,903,451,664
  5. Step 5: Solve for x
    x = 827,903,451,664/421,226
  6. Step 6: Final answer
    x = 1,965,461.42

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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.