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Finding the Third Proportional to 986,391 and 2,120,175

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Solution

The third proportional to 986,391 and 2,120,175 is: 4,557,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,391 : 2,120,175 = 2,120,175 : x
  2. Step 2: Convert to fraction form
    986,391/2,120,175 = 2,120,175/x
  3. Step 3: Cross multiply
    986,391x = 2,120,175 × 2,120,175
  4. Step 4: Simplify right side
    986,391x = 4,495,142,030,625
  5. Step 5: Solve for x
    x = 4,495,142,030,625/986,391
  6. Step 6: Final answer
    x = 4,557,160.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.