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Finding the Third Proportional to 12,297,318.75 and 18,378,211.50

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Solution

The third proportional to 12,297,318.75 and 18,378,211.50 is: 27,466,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297,318.75 : 18,378,211.50 = 18,378,211.50 : x
  2. Step 2: Convert to fraction form
    12,297,318.75/18,378,211.50 = 18,378,211.50/x
  3. Step 3: Cross multiply
    12,297,318.75x = 18,378,211.50 × 18,378,211.50
  4. Step 4: Simplify right side
    12,297,318.75x = 337,758,657,938,732.25
  5. Step 5: Solve for x
    x = 337,758,657,938,732.25/12,297,318.75
  6. Step 6: Final answer
    x = 27,466,040.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.