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Finding the Third Proportional to 154,638 and 239,440

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Solution

The third proportional to 154,638 and 239,440 is: 370,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,638 : 239,440 = 239,440 : x
  2. Step 2: Convert to fraction form
    154,638/239,440 = 239,440/x
  3. Step 3: Cross multiply
    154,638x = 239,440 × 239,440
  4. Step 4: Simplify right side
    154,638x = 57,331,513,600
  5. Step 5: Solve for x
    x = 57,331,513,600/154,638
  6. Step 6: Final answer
    x = 370,746.61

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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.