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Finding the Third Proportional to 9,782,780 and 21,251,229

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Solution

The third proportional to 9,782,780 and 21,251,229 is: 46,164,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782,780 : 21,251,229 = 21,251,229 : x
  2. Step 2: Convert to fraction form
    9,782,780/21,251,229 = 21,251,229/x
  3. Step 3: Cross multiply
    9,782,780x = 21,251,229 × 21,251,229
  4. Step 4: Simplify right side
    9,782,780x = 451,614,734,010,441
  5. Step 5: Solve for x
    x = 451,614,734,010,441/9,782,780
  6. Step 6: Final answer
    x = 46,164,253.31

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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.