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Finding the Third Proportional to 129,697 and 193,721

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Solution

The third proportional to 129,697 and 193,721 is: 289,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,697 : 193,721 = 193,721 : x
  2. Step 2: Convert to fraction form
    129,697/193,721 = 193,721/x
  3. Step 3: Cross multiply
    129,697x = 193,721 × 193,721
  4. Step 4: Simplify right side
    129,697x = 37,527,825,841
  5. Step 5: Solve for x
    x = 37,527,825,841/129,697
  6. Step 6: Final answer
    x = 289,349.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.