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Finding the Third Proportional to 426,789 and 916,839

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Solution

The third proportional to 426,789 and 916,839 is: 1,969,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,789 : 916,839 = 916,839 : x
  2. Step 2: Convert to fraction form
    426,789/916,839 = 916,839/x
  3. Step 3: Cross multiply
    426,789x = 916,839 × 916,839
  4. Step 4: Simplify right side
    426,789x = 840,593,751,921
  5. Step 5: Solve for x
    x = 840,593,751,921/426,789
  6. Step 6: Final answer
    x = 1,969,576.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.