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Finding the Third Proportional to 8,415,726 and 18,406,086

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Solution

The third proportional to 8,415,726 and 18,406,086 is: 40,256,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,726 : 18,406,086 = 18,406,086 : x
  2. Step 2: Convert to fraction form
    8,415,726/18,406,086 = 18,406,086/x
  3. Step 3: Cross multiply
    8,415,726x = 18,406,086 × 18,406,086
  4. Step 4: Simplify right side
    8,415,726x = 338,784,001,839,396
  5. Step 5: Solve for x
    x = 338,784,001,839,396/8,415,726
  6. Step 6: Final answer
    x = 40,256,063.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.