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Finding the Third Proportional to 17,142,309 and 36,609,468.75

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Solution

The third proportional to 17,142,309 and 36,609,468.75 is: 78,183,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142,309 : 36,609,468.75 = 36,609,468.75 : x
  2. Step 2: Convert to fraction form
    17,142,309/36,609,468.75 = 36,609,468.75/x
  3. Step 3: Cross multiply
    17,142,309x = 36,609,468.75 × 36,609,468.75
  4. Step 4: Simplify right side
    17,142,309x = 1,340,253,202,157,226.50
  5. Step 5: Solve for x
    x = 1,340,253,202,157,226.50/17,142,309
  6. Step 6: Final answer
    x = 78,183,936.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.