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Finding the Third Proportional to 8,118,953 and 17,667,165

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Solution

The third proportional to 8,118,953 and 17,667,165 is: 38,444,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118,953 : 17,667,165 = 17,667,165 : x
  2. Step 2: Convert to fraction form
    8,118,953/17,667,165 = 17,667,165/x
  3. Step 3: Cross multiply
    8,118,953x = 17,667,165 × 17,667,165
  4. Step 4: Simplify right side
    8,118,953x = 312,128,719,137,225
  5. Step 5: Solve for x
    x = 312,128,719,137,225/8,118,953
  6. Step 6: Final answer
    x = 38,444,454.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.