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Finding the Third Proportional to 154,516.50 and 239,121

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Solution

The third proportional to 154,516.50 and 239,121 is: 370,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,516.50 : 239,121 = 239,121 : x
  2. Step 2: Convert to fraction form
    154,516.50/239,121 = 239,121/x
  3. Step 3: Cross multiply
    154,516.50x = 239,121 × 239,121
  4. Step 4: Simplify right side
    154,516.50x = 57,178,852,641
  5. Step 5: Solve for x
    x = 57,178,852,641/154,516.50
  6. Step 6: Final answer
    x = 370,050.14

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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.