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Finding the Third Proportional to 109,989 and 171,557

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Solution

The third proportional to 109,989 and 171,557 is: 267,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,989 : 171,557 = 171,557 : x
  2. Step 2: Convert to fraction form
    109,989/171,557 = 171,557/x
  3. Step 3: Cross multiply
    109,989x = 171,557 × 171,557
  4. Step 4: Simplify right side
    109,989x = 29,431,804,249
  5. Step 5: Solve for x
    x = 29,431,804,249/109,989
  6. Step 6: Final answer
    x = 267,588.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.