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Finding the Third Proportional to 643,500 and 979,086

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Solution

The third proportional to 643,500 and 979,086 is: 1,489,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,500 : 979,086 = 979,086 : x
  2. Step 2: Convert to fraction form
    643,500/979,086 = 979,086/x
  3. Step 3: Cross multiply
    643,500x = 979,086 × 979,086
  4. Step 4: Simplify right side
    643,500x = 958,609,395,396
  5. Step 5: Solve for x
    x = 958,609,395,396/643,500
  6. Step 6: Final answer
    x = 1,489,680.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.