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Finding the Third Proportional to 154,955 and 239,267

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Solution

The third proportional to 154,955 and 239,267 is: 369,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,955 : 239,267 = 239,267 : x
  2. Step 2: Convert to fraction form
    154,955/239,267 = 239,267/x
  3. Step 3: Cross multiply
    154,955x = 239,267 × 239,267
  4. Step 4: Simplify right side
    154,955x = 57,248,697,289
  5. Step 5: Solve for x
    x = 57,248,697,289/154,955
  6. Step 6: Final answer
    x = 369,453.69

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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.