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Finding the Third Proportional to 71,810,991 and 113,728,413

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Solution

The third proportional to 71,810,991 and 113,728,413 is: 180,113,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810,991 : 113,728,413 = 113,728,413 : x
  2. Step 2: Convert to fraction form
    71,810,991/113,728,413 = 113,728,413/x
  3. Step 3: Cross multiply
    71,810,991x = 113,728,413 × 113,728,413
  4. Step 4: Simplify right side
    71,810,991x = 12,934,151,923,498,568
  5. Step 5: Solve for x
    x = 12,934,151,923,498,568/71,810,991
  6. Step 6: Final answer
    x = 180,113,820.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.