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Finding the Third Proportional to 31,786,078 and 68,652,800

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Solution

The third proportional to 31,786,078 and 68,652,800 is: 148,278,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786,078 : 68,652,800 = 68,652,800 : x
  2. Step 2: Convert to fraction form
    31,786,078/68,652,800 = 68,652,800/x
  3. Step 3: Cross multiply
    31,786,078x = 68,652,800 × 68,652,800
  4. Step 4: Simplify right side
    31,786,078x = 4,713,206,947,840,000
  5. Step 5: Solve for x
    x = 4,713,206,947,840,000/31,786,078
  6. Step 6: Final answer
    x = 148,278,971.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.