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Finding the Third Proportional to 9,782,782 and 21,251,232

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Solution

The third proportional to 9,782,782 and 21,251,232 is: 46,164,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782,782 : 21,251,232 = 21,251,232 : x
  2. Step 2: Convert to fraction form
    9,782,782/21,251,232 = 21,251,232/x
  3. Step 3: Cross multiply
    9,782,782x = 21,251,232 × 21,251,232
  4. Step 4: Simplify right side
    9,782,782x = 451,614,861,517,824
  5. Step 5: Solve for x
    x = 451,614,861,517,824/9,782,782
  6. Step 6: Final answer
    x = 46,164,256.91

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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.