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Finding the Third Proportional to 115,224 and 154,836

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Solution

The third proportional to 115,224 and 154,836 is: 208,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,224 : 154,836 = 154,836 : x
  2. Step 2: Convert to fraction form
    115,224/154,836 = 154,836/x
  3. Step 3: Cross multiply
    115,224x = 154,836 × 154,836
  4. Step 4: Simplify right side
    115,224x = 23,974,186,896
  5. Step 5: Solve for x
    x = 23,974,186,896/115,224
  6. Step 6: Final answer
    x = 208,065.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.