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Finding the Third Proportional to 869,498 and 1,336,647

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Solution

The third proportional to 869,498 and 1,336,647 is: 2,054,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,498 : 1,336,647 = 1,336,647 : x
  2. Step 2: Convert to fraction form
    869,498/1,336,647 = 1,336,647/x
  3. Step 3: Cross multiply
    869,498x = 1,336,647 × 1,336,647
  4. Step 4: Simplify right side
    869,498x = 1,786,625,202,609
  5. Step 5: Solve for x
    x = 1,786,625,202,609/869,498
  6. Step 6: Final answer
    x = 2,054,777.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.