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Finding the Third Proportional to 380,988 and 837,170

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Solution

The third proportional to 380,988 and 837,170 is: 1,839,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,988 : 837,170 = 837,170 : x
  2. Step 2: Convert to fraction form
    380,988/837,170 = 837,170/x
  3. Step 3: Cross multiply
    380,988x = 837,170 × 837,170
  4. Step 4: Simplify right side
    380,988x = 700,853,608,900
  5. Step 5: Solve for x
    x = 700,853,608,900/380,988
  6. Step 6: Final answer
    x = 1,839,568.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.