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Finding the Third Proportional to 109,000 and 154,248

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Solution

The third proportional to 109,000 and 154,248 is: 218,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,000 : 154,248 = 154,248 : x
  2. Step 2: Convert to fraction form
    109,000/154,248 = 154,248/x
  3. Step 3: Cross multiply
    109,000x = 154,248 × 154,248
  4. Step 4: Simplify right side
    109,000x = 23,792,445,504
  5. Step 5: Solve for x
    x = 23,792,445,504/109,000
  6. Step 6: Final answer
    x = 218,279.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.