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Finding the Third Proportional to 17,757,380 and 38,971,138

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Solution

The third proportional to 17,757,380 and 38,971,138 is: 85,527,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757,380 : 38,971,138 = 38,971,138 : x
  2. Step 2: Convert to fraction form
    17,757,380/38,971,138 = 38,971,138/x
  3. Step 3: Cross multiply
    17,757,380x = 38,971,138 × 38,971,138
  4. Step 4: Simplify right side
    17,757,380x = 1,518,749,597,015,044
  5. Step 5: Solve for x
    x = 1,518,749,597,015,044/17,757,380
  6. Step 6: Final answer
    x = 85,527,797.29

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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.