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Finding the Third Proportional to 421,856 and 916,672

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Solution

The third proportional to 421,856 and 916,672 is: 1,991,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,856 : 916,672 = 916,672 : x
  2. Step 2: Convert to fraction form
    421,856/916,672 = 916,672/x
  3. Step 3: Cross multiply
    421,856x = 916,672 × 916,672
  4. Step 4: Simplify right side
    421,856x = 840,287,555,584
  5. Step 5: Solve for x
    x = 840,287,555,584/421,856
  6. Step 6: Final answer
    x = 1,991,882.43

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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.