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Finding the Third Proportional to 550,118 and 828,819

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Solution

The third proportional to 550,118 and 828,819 is: 1,248,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,118 : 828,819 = 828,819 : x
  2. Step 2: Convert to fraction form
    550,118/828,819 = 828,819/x
  3. Step 3: Cross multiply
    550,118x = 828,819 × 828,819
  4. Step 4: Simplify right side
    550,118x = 686,940,934,761
  5. Step 5: Solve for x
    x = 686,940,934,761/550,118
  6. Step 6: Final answer
    x = 1,248,715.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.