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Finding the Third Proportional to 68,498 and 103,239

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Solution

The third proportional to 68,498 and 103,239 is: 155,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498 : 103,239 = 103,239 : x
  2. Step 2: Convert to fraction form
    68,498/103,239 = 103,239/x
  3. Step 3: Cross multiply
    68,498x = 103,239 × 103,239
  4. Step 4: Simplify right side
    68,498x = 10,658,291,121
  5. Step 5: Solve for x
    x = 10,658,291,121/68,498
  6. Step 6: Final answer
    x = 155,600.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.