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Finding the Third Proportional to 154,822 and 239,279

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Solution

The third proportional to 154,822 and 239,279 is: 369,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,822 : 239,279 = 239,279 : x
  2. Step 2: Convert to fraction form
    154,822/239,279 = 239,279/x
  3. Step 3: Cross multiply
    154,822x = 239,279 × 239,279
  4. Step 4: Simplify right side
    154,822x = 57,254,439,841
  5. Step 5: Solve for x
    x = 57,254,439,841/154,822
  6. Step 6: Final answer
    x = 369,808.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.