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Finding the Third Proportional to 7,129,947 and 15,396,171

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Solution

The third proportional to 7,129,947 and 15,396,171 is: 33,245,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,947 : 15,396,171 = 15,396,171 : x
  2. Step 2: Convert to fraction form
    7,129,947/15,396,171 = 15,396,171/x
  3. Step 3: Cross multiply
    7,129,947x = 15,396,171 × 15,396,171
  4. Step 4: Simplify right side
    7,129,947x = 237,042,081,461,241
  5. Step 5: Solve for x
    x = 237,042,081,461,241/7,129,947
  6. Step 6: Final answer
    x = 33,245,980.86

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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.