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Finding the Third Proportional to 31,449,969 and 67,272,021

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Solution

The third proportional to 31,449,969 and 67,272,021 is: 143,896,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,969 : 67,272,021 = 67,272,021 : x
  2. Step 2: Convert to fraction form
    31,449,969/67,272,021 = 67,272,021/x
  3. Step 3: Cross multiply
    31,449,969x = 67,272,021 × 67,272,021
  4. Step 4: Simplify right side
    31,449,969x = 4,525,524,809,424,441
  5. Step 5: Solve for x
    x = 4,525,524,809,424,441/31,449,969
  6. Step 6: Final answer
    x = 143,896,002.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.