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Finding the Third Proportional to 80,617 and 174,367

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Solution

The third proportional to 80,617 and 174,367 is: 377,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617 : 174,367 = 174,367 : x
  2. Step 2: Convert to fraction form
    80,617/174,367 = 174,367/x
  3. Step 3: Cross multiply
    80,617x = 174,367 × 174,367
  4. Step 4: Simplify right side
    80,617x = 30,403,850,689
  5. Step 5: Solve for x
    x = 30,403,850,689/80,617
  6. Step 6: Final answer
    x = 377,139.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.