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Finding the Third Proportional to 7,949,917 and 17,158,817

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Solution

The third proportional to 7,949,917 and 17,158,817 is: 37,034,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949,917 : 17,158,817 = 17,158,817 : x
  2. Step 2: Convert to fraction form
    7,949,917/17,158,817 = 17,158,817/x
  3. Step 3: Cross multiply
    7,949,917x = 17,158,817 × 17,158,817
  4. Step 4: Simplify right side
    7,949,917x = 294,425,000,839,489
  5. Step 5: Solve for x
    x = 294,425,000,839,489/7,949,917
  6. Step 6: Final answer
    x = 37,034,977.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.