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Finding the Third Proportional to 154,980 and 239,480

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Solution

The third proportional to 154,980 and 239,480 is: 370,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,980 : 239,480 = 239,480 : x
  2. Step 2: Convert to fraction form
    154,980/239,480 = 239,480/x
  3. Step 3: Cross multiply
    154,980x = 239,480 × 239,480
  4. Step 4: Simplify right side
    154,980x = 57,350,670,400
  5. Step 5: Solve for x
    x = 57,350,670,400/154,980
  6. Step 6: Final answer
    x = 370,052.07

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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.