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Finding the Third Proportional to 89,311.50 and 178,623

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Solution

The third proportional to 89,311.50 and 178,623 is: 357,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,311.50 : 178,623 = 178,623 : x
  2. Step 2: Convert to fraction form
    89,311.50/178,623 = 178,623/x
  3. Step 3: Cross multiply
    89,311.50x = 178,623 × 178,623
  4. Step 4: Simplify right side
    89,311.50x = 31,906,176,129
  5. Step 5: Solve for x
    x = 31,906,176,129/89,311.50
  6. Step 6: Final answer
    x = 357,246

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.