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Finding the Third Proportional to 155,904 and 251,085

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Solution

The third proportional to 155,904 and 251,085 is: 404,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,904 : 251,085 = 251,085 : x
  2. Step 2: Convert to fraction form
    155,904/251,085 = 251,085/x
  3. Step 3: Cross multiply
    155,904x = 251,085 × 251,085
  4. Step 4: Simplify right side
    155,904x = 63,043,677,225
  5. Step 5: Solve for x
    x = 63,043,677,225/155,904
  6. Step 6: Final answer
    x = 404,374.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.