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Finding the Third Proportional to 154,523 and 239,135

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Solution

The third proportional to 154,523 and 239,135 is: 370,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,523 : 239,135 = 239,135 : x
  2. Step 2: Convert to fraction form
    154,523/239,135 = 239,135/x
  3. Step 3: Cross multiply
    154,523x = 239,135 × 239,135
  4. Step 4: Simplify right side
    154,523x = 57,185,548,225
  5. Step 5: Solve for x
    x = 57,185,548,225/154,523
  6. Step 6: Final answer
    x = 370,077.91

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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.