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Finding the Third Proportional to 412,789 and 843,071

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Solution

The third proportional to 412,789 and 843,071 is: 1,721,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,789 : 843,071 = 843,071 : x
  2. Step 2: Convert to fraction form
    412,789/843,071 = 843,071/x
  3. Step 3: Cross multiply
    412,789x = 843,071 × 843,071
  4. Step 4: Simplify right side
    412,789x = 710,768,711,041
  5. Step 5: Solve for x
    x = 710,768,711,041/412,789
  6. Step 6: Final answer
    x = 1,721,869.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.