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Finding the Third Proportional to 154,939 and 239,243

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Solution

The third proportional to 154,939 and 239,243 is: 369,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,939 : 239,243 = 239,243 : x
  2. Step 2: Convert to fraction form
    154,939/239,243 = 239,243/x
  3. Step 3: Cross multiply
    154,939x = 239,243 × 239,243
  4. Step 4: Simplify right side
    154,939x = 57,237,213,049
  5. Step 5: Solve for x
    x = 57,237,213,049/154,939
  6. Step 6: Final answer
    x = 369,417.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.