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Finding the Third Proportional to 103,338 and 109,489

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Solution

The third proportional to 103,338 and 109,489 is: 116,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,338 : 109,489 = 109,489 : x
  2. Step 2: Convert to fraction form
    103,338/109,489 = 109,489/x
  3. Step 3: Cross multiply
    103,338x = 109,489 × 109,489
  4. Step 4: Simplify right side
    103,338x = 11,987,841,121
  5. Step 5: Solve for x
    x = 11,987,841,121/103,338
  6. Step 6: Final answer
    x = 116,006.13

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.