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Finding the Third Proportional to 8,538,784 and 13,207,181

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Solution

The third proportional to 8,538,784 and 13,207,181 is: 20,427,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538,784 : 13,207,181 = 13,207,181 : x
  2. Step 2: Convert to fraction form
    8,538,784/13,207,181 = 13,207,181/x
  3. Step 3: Cross multiply
    8,538,784x = 13,207,181 × 13,207,181
  4. Step 4: Simplify right side
    8,538,784x = 174,429,629,966,761
  5. Step 5: Solve for x
    x = 174,429,629,966,761/8,538,784
  6. Step 6: Final answer
    x = 20,427,923.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.