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Finding the Third Proportional to 67,640 and 97,984

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Solution

The third proportional to 67,640 and 97,984 is: 141,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,640 : 97,984 = 97,984 : x
  2. Step 2: Convert to fraction form
    67,640/97,984 = 97,984/x
  3. Step 3: Cross multiply
    67,640x = 97,984 × 97,984
  4. Step 4: Simplify right side
    67,640x = 9,600,864,256
  5. Step 5: Solve for x
    x = 9,600,864,256/67,640
  6. Step 6: Final answer
    x = 141,940.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.