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Finding the Third Proportional to 112,640 and 241,920

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Solution

The third proportional to 112,640 and 241,920 is: 519,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,640 : 241,920 = 241,920 : x
  2. Step 2: Convert to fraction form
    112,640/241,920 = 241,920/x
  3. Step 3: Cross multiply
    112,640x = 241,920 × 241,920
  4. Step 4: Simplify right side
    112,640x = 58,525,286,400
  5. Step 5: Solve for x
    x = 58,525,286,400/112,640
  6. Step 6: Final answer
    x = 519,578.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.