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Finding the Third Proportional to 67,456 and 97,172

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Solution

The third proportional to 67,456 and 97,172 is: 139,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,456 : 97,172 = 97,172 : x
  2. Step 2: Convert to fraction form
    67,456/97,172 = 97,172/x
  3. Step 3: Cross multiply
    67,456x = 97,172 × 97,172
  4. Step 4: Simplify right side
    67,456x = 9,442,397,584
  5. Step 5: Solve for x
    x = 9,442,397,584/67,456
  6. Step 6: Final answer
    x = 139,978.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.