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Finding the Third Proportional to 55,721 and 121,598

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Solution

The third proportional to 55,721 and 121,598 is: 265,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,721 : 121,598 = 121,598 : x
  2. Step 2: Convert to fraction form
    55,721/121,598 = 121,598/x
  3. Step 3: Cross multiply
    55,721x = 121,598 × 121,598
  4. Step 4: Simplify right side
    55,721x = 14,786,073,604
  5. Step 5: Solve for x
    x = 14,786,073,604/55,721
  6. Step 6: Final answer
    x = 265,359.09

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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.