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Finding the Third Proportional to 154,957 and 239,270

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Solution

The third proportional to 154,957 and 239,270 is: 369,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,957 : 239,270 = 239,270 : x
  2. Step 2: Convert to fraction form
    154,957/239,270 = 239,270/x
  3. Step 3: Cross multiply
    154,957x = 239,270 × 239,270
  4. Step 4: Simplify right side
    154,957x = 57,250,132,900
  5. Step 5: Solve for x
    x = 57,250,132,900/154,957
  6. Step 6: Final answer
    x = 369,458.19

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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.