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Finding the Third Proportional to 37,220 and 81,121

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Solution

The third proportional to 37,220 and 81,121 is: 176,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,220 : 81,121 = 81,121 : x
  2. Step 2: Convert to fraction form
    37,220/81,121 = 81,121/x
  3. Step 3: Cross multiply
    37,220x = 81,121 × 81,121
  4. Step 4: Simplify right side
    37,220x = 6,580,616,641
  5. Step 5: Solve for x
    x = 6,580,616,641/37,220
  6. Step 6: Final answer
    x = 176,803.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.