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Finding the Third Proportional to 31,464,138 and 68,647,524

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Solution

The third proportional to 31,464,138 and 68,647,524 is: 149,773,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464,138 : 68,647,524 = 68,647,524 : x
  2. Step 2: Convert to fraction form
    31,464,138/68,647,524 = 68,647,524/x
  3. Step 3: Cross multiply
    31,464,138x = 68,647,524 × 68,647,524
  4. Step 4: Simplify right side
    31,464,138x = 4,712,482,551,330,576
  5. Step 5: Solve for x
    x = 4,712,482,551,330,576/31,464,138
  6. Step 6: Final answer
    x = 149,773,133.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.