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Finding the Third Proportional to 6,917,770 and 15,138,718

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Solution

The third proportional to 6,917,770 and 15,138,718 is: 33,129,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,770 : 15,138,718 = 15,138,718 : x
  2. Step 2: Convert to fraction form
    6,917,770/15,138,718 = 15,138,718/x
  3. Step 3: Cross multiply
    6,917,770x = 15,138,718 × 15,138,718
  4. Step 4: Simplify right side
    6,917,770x = 229,180,782,683,524
  5. Step 5: Solve for x
    x = 229,180,782,683,524/6,917,770
  6. Step 6: Final answer
    x = 33,129,286.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.