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Finding the Third Proportional to 137,522 and 218,824

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Solution

The third proportional to 137,522 and 218,824 is: 348,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,522 : 218,824 = 218,824 : x
  2. Step 2: Convert to fraction form
    137,522/218,824 = 218,824/x
  3. Step 3: Cross multiply
    137,522x = 218,824 × 218,824
  4. Step 4: Simplify right side
    137,522x = 47,883,942,976
  5. Step 5: Solve for x
    x = 47,883,942,976/137,522
  6. Step 6: Final answer
    x = 348,191.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.