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Finding the Third Proportional to 12,154,827.75 and 18,540,940.50

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Solution

The third proportional to 12,154,827.75 and 18,540,940.50 is: 28,282,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154,827.75 : 18,540,940.50 = 18,540,940.50 : x
  2. Step 2: Convert to fraction form
    12,154,827.75/18,540,940.50 = 18,540,940.50/x
  3. Step 3: Cross multiply
    12,154,827.75x = 18,540,940.50 × 18,540,940.50
  4. Step 4: Simplify right side
    12,154,827.75x = 343,766,474,624,540.25
  5. Step 5: Solve for x
    x = 343,766,474,624,540.25/12,154,827.75
  6. Step 6: Final answer
    x = 28,282,299.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.