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Finding the Third Proportional to 77,238 and 103,449

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Solution

The third proportional to 77,238 and 103,449 is: 138,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,238 : 103,449 = 103,449 : x
  2. Step 2: Convert to fraction form
    77,238/103,449 = 103,449/x
  3. Step 3: Cross multiply
    77,238x = 103,449 × 103,449
  4. Step 4: Simplify right side
    77,238x = 10,701,695,601
  5. Step 5: Solve for x
    x = 10,701,695,601/77,238
  6. Step 6: Final answer
    x = 138,554.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.