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Finding the Third Proportional to 389,448 and 850,986

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Solution

The third proportional to 389,448 and 850,986 is: 1,859,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,448 : 850,986 = 850,986 : x
  2. Step 2: Convert to fraction form
    389,448/850,986 = 850,986/x
  3. Step 3: Cross multiply
    389,448x = 850,986 × 850,986
  4. Step 4: Simplify right side
    389,448x = 724,177,172,196
  5. Step 5: Solve for x
    x = 724,177,172,196/389,448
  6. Step 6: Final answer
    x = 1,859,496.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.