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Finding the Third Proportional to 12,982,878 and 20,182,317

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Solution

The third proportional to 12,982,878 and 20,182,317 is: 31,374,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982,878 : 20,182,317 = 20,182,317 : x
  2. Step 2: Convert to fraction form
    12,982,878/20,182,317 = 20,182,317/x
  3. Step 3: Cross multiply
    12,982,878x = 20,182,317 × 20,182,317
  4. Step 4: Simplify right side
    12,982,878x = 407,325,919,488,489
  5. Step 5: Solve for x
    x = 407,325,919,488,489/12,982,878
  6. Step 6: Final answer
    x = 31,374,085.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.