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Finding the Third Proportional to 828,174.25 and 1,243,138

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Solution

The third proportional to 828,174.25 and 1,243,138 is: 1,866,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,174.25 : 1,243,138 = 1,243,138 : x
  2. Step 2: Convert to fraction form
    828,174.25/1,243,138 = 1,243,138/x
  3. Step 3: Cross multiply
    828,174.25x = 1,243,138 × 1,243,138
  4. Step 4: Simplify right side
    828,174.25x = 1,545,392,087,044
  5. Step 5: Solve for x
    x = 1,545,392,087,044/828,174.25
  6. Step 6: Final answer
    x = 1,866,022.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.