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Finding the Third Proportional to 8,538,768 and 13,207,164

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Solution

The third proportional to 8,538,768 and 13,207,164 is: 20,427,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538,768 : 13,207,164 = 13,207,164 : x
  2. Step 2: Convert to fraction form
    8,538,768/13,207,164 = 13,207,164/x
  3. Step 3: Cross multiply
    8,538,768x = 13,207,164 × 13,207,164
  4. Step 4: Simplify right side
    8,538,768x = 174,429,180,922,896
  5. Step 5: Solve for x
    x = 174,429,180,922,896/8,538,768
  6. Step 6: Final answer
    x = 20,427,909.61

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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.