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Finding the Third Proportional to 182,746.50 and 274,119

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Solution

The third proportional to 182,746.50 and 274,119 is: 411,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,746.50 : 274,119 = 274,119 : x
  2. Step 2: Convert to fraction form
    182,746.50/274,119 = 274,119/x
  3. Step 3: Cross multiply
    182,746.50x = 274,119 × 274,119
  4. Step 4: Simplify right side
    182,746.50x = 75,141,226,161
  5. Step 5: Solve for x
    x = 75,141,226,161/182,746.50
  6. Step 6: Final answer
    x = 411,177.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.