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Finding the Third Proportional to 828,337 and 1,215,237

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Solution

The third proportional to 828,337 and 1,215,237 is: 1,782,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,337 : 1,215,237 = 1,215,237 : x
  2. Step 2: Convert to fraction form
    828,337/1,215,237 = 1,215,237/x
  3. Step 3: Cross multiply
    828,337x = 1,215,237 × 1,215,237
  4. Step 4: Simplify right side
    828,337x = 1,476,800,966,169
  5. Step 5: Solve for x
    x = 1,476,800,966,169/828,337
  6. Step 6: Final answer
    x = 1,782,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.