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Finding the Third Proportional to 20,165,728 and 30,996,144

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Solution

The third proportional to 20,165,728 and 30,996,144 is: 47,643,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165,728 : 30,996,144 = 30,996,144 : x
  2. Step 2: Convert to fraction form
    20,165,728/30,996,144 = 30,996,144/x
  3. Step 3: Cross multiply
    20,165,728x = 30,996,144 × 30,996,144
  4. Step 4: Simplify right side
    20,165,728x = 960,760,942,868,736
  5. Step 5: Solve for x
    x = 960,760,942,868,736/20,165,728
  6. Step 6: Final answer
    x = 47,643,256.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.