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Finding the Third Proportional to 178,060 and 277,302

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Solution

The third proportional to 178,060 and 277,302 is: 431,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,060 : 277,302 = 277,302 : x
  2. Step 2: Convert to fraction form
    178,060/277,302 = 277,302/x
  3. Step 3: Cross multiply
    178,060x = 277,302 × 277,302
  4. Step 4: Simplify right side
    178,060x = 76,896,399,204
  5. Step 5: Solve for x
    x = 76,896,399,204/178,060
  6. Step 6: Final answer
    x = 431,856.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.