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Finding the Third Proportional to 7,242,921 and 15,661,908

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Solution

The third proportional to 7,242,921 and 15,661,908 is: 33,866,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242,921 : 15,661,908 = 15,661,908 : x
  2. Step 2: Convert to fraction form
    7,242,921/15,661,908 = 15,661,908/x
  3. Step 3: Cross multiply
    7,242,921x = 15,661,908 × 15,661,908
  4. Step 4: Simplify right side
    7,242,921x = 245,295,362,200,464
  5. Step 5: Solve for x
    x = 245,295,362,200,464/7,242,921
  6. Step 6: Final answer
    x = 33,866,911.18

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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.