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Finding the Third Proportional to 13,869,260 and 18,407,908

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Solution

The third proportional to 13,869,260 and 18,407,908 is: 24,431,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,260 : 18,407,908 = 18,407,908 : x
  2. Step 2: Convert to fraction form
    13,869,260/18,407,908 = 18,407,908/x
  3. Step 3: Cross multiply
    13,869,260x = 18,407,908 × 18,407,908
  4. Step 4: Simplify right side
    13,869,260x = 338,851,076,936,464
  5. Step 5: Solve for x
    x = 338,851,076,936,464/13,869,260
  6. Step 6: Final answer
    x = 24,431,806.52

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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.