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Finding the Third Proportional to 815,420 and 1,199,163

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Solution

The third proportional to 815,420 and 1,199,163 is: 1,763,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,420 : 1,199,163 = 1,199,163 : x
  2. Step 2: Convert to fraction form
    815,420/1,199,163 = 1,199,163/x
  3. Step 3: Cross multiply
    815,420x = 1,199,163 × 1,199,163
  4. Step 4: Simplify right side
    815,420x = 1,437,991,900,569
  5. Step 5: Solve for x
    x = 1,437,991,900,569/815,420
  6. Step 6: Final answer
    x = 1,763,498.44

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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.