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Finding the Third Proportional to 13,869,240 and 18,407,880

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Solution

The third proportional to 13,869,240 and 18,407,880 is: 24,431,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,240 : 18,407,880 = 18,407,880 : x
  2. Step 2: Convert to fraction form
    13,869,240/18,407,880 = 18,407,880/x
  3. Step 3: Cross multiply
    13,869,240x = 18,407,880 × 18,407,880
  4. Step 4: Simplify right side
    13,869,240x = 338,850,046,094,400
  5. Step 5: Solve for x
    x = 338,850,046,094,400/13,869,240
  6. Step 6: Final answer
    x = 24,431,767.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.