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Finding the Third Proportional to 20,213,220 and 31,100,538

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Solution

The third proportional to 20,213,220 and 31,100,538 is: 47,852,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,220 : 31,100,538 = 31,100,538 : x
  2. Step 2: Convert to fraction form
    20,213,220/31,100,538 = 31,100,538/x
  3. Step 3: Cross multiply
    20,213,220x = 31,100,538 × 31,100,538
  4. Step 4: Simplify right side
    20,213,220x = 967,243,463,889,444
  5. Step 5: Solve for x
    x = 967,243,463,889,444/20,213,220
  6. Step 6: Final answer
    x = 47,852,022.78

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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.