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Finding the Third Proportional to 814,338 and 1,230,435

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Solution

The third proportional to 814,338 and 1,230,435 is: 1,859,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,338 : 1,230,435 = 1,230,435 : x
  2. Step 2: Convert to fraction form
    814,338/1,230,435 = 1,230,435/x
  3. Step 3: Cross multiply
    814,338x = 1,230,435 × 1,230,435
  4. Step 4: Simplify right side
    814,338x = 1,513,970,289,225
  5. Step 5: Solve for x
    x = 1,513,970,289,225/814,338
  6. Step 6: Final answer
    x = 1,859,142.38

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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.