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Finding the Third Proportional to 9,165,516 and 19,907,449

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Solution

The third proportional to 9,165,516 and 19,907,449 is: 43,238,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165,516 : 19,907,449 = 19,907,449 : x
  2. Step 2: Convert to fraction form
    9,165,516/19,907,449 = 19,907,449/x
  3. Step 3: Cross multiply
    9,165,516x = 19,907,449 × 19,907,449
  4. Step 4: Simplify right side
    9,165,516x = 396,306,525,687,601
  5. Step 5: Solve for x
    x = 396,306,525,687,601/9,165,516
  6. Step 6: Final answer
    x = 43,238,866.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.