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Finding the Third Proportional to 154,985 and 239,383

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Solution

The third proportional to 154,985 and 239,383 is: 369,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,985 : 239,383 = 239,383 : x
  2. Step 2: Convert to fraction form
    154,985/239,383 = 239,383/x
  3. Step 3: Cross multiply
    154,985x = 239,383 × 239,383
  4. Step 4: Simplify right side
    154,985x = 57,304,220,689
  5. Step 5: Solve for x
    x = 57,304,220,689/154,985
  6. Step 6: Final answer
    x = 369,740.43

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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.