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Finding the Third Proportional to 67,680 and 145,752

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Solution

The third proportional to 67,680 and 145,752 is: 313,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,680 : 145,752 = 145,752 : x
  2. Step 2: Convert to fraction form
    67,680/145,752 = 145,752/x
  3. Step 3: Cross multiply
    67,680x = 145,752 × 145,752
  4. Step 4: Simplify right side
    67,680x = 21,243,645,504
  5. Step 5: Solve for x
    x = 21,243,645,504/67,680
  6. Step 6: Final answer
    x = 313,883.65

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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.