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Finding the Third Proportional to 67,421 and 97,115

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Solution

The third proportional to 67,421 and 97,115 is: 139,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,421 : 97,115 = 97,115 : x
  2. Step 2: Convert to fraction form
    67,421/97,115 = 97,115/x
  3. Step 3: Cross multiply
    67,421x = 97,115 × 97,115
  4. Step 4: Simplify right side
    67,421x = 9,431,323,225
  5. Step 5: Solve for x
    x = 9,431,323,225/67,421
  6. Step 6: Final answer
    x = 139,887.03

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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.