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Finding the Third Proportional to 802,182 and 1,203,447

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Solution

The third proportional to 802,182 and 1,203,447 is: 1,805,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,182 : 1,203,447 = 1,203,447 : x
  2. Step 2: Convert to fraction form
    802,182/1,203,447 = 1,203,447/x
  3. Step 3: Cross multiply
    802,182x = 1,203,447 × 1,203,447
  4. Step 4: Simplify right side
    802,182x = 1,448,284,681,809
  5. Step 5: Solve for x
    x = 1,448,284,681,809/802,182
  6. Step 6: Final answer
    x = 1,805,431.54

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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.