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Finding the Third Proportional to 9,149,943 and 19,806,189

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Solution

The third proportional to 9,149,943 and 19,806,189 is: 42,872,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,943 : 19,806,189 = 19,806,189 : x
  2. Step 2: Convert to fraction form
    9,149,943/19,806,189 = 19,806,189/x
  3. Step 3: Cross multiply
    9,149,943x = 19,806,189 × 19,806,189
  4. Step 4: Simplify right side
    9,149,943x = 392,285,122,703,721
  5. Step 5: Solve for x
    x = 392,285,122,703,721/9,149,943
  6. Step 6: Final answer
    x = 42,872,958.08

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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.