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Finding the Third Proportional to 102,855 and 155,378

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Solution

The third proportional to 102,855 and 155,378 is: 234,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855 : 155,378 = 155,378 : x
  2. Step 2: Convert to fraction form
    102,855/155,378 = 155,378/x
  3. Step 3: Cross multiply
    102,855x = 155,378 × 155,378
  4. Step 4: Simplify right side
    102,855x = 24,142,322,884
  5. Step 5: Solve for x
    x = 24,142,322,884/102,855
  6. Step 6: Final answer
    x = 234,721.92

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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.