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Finding the Third Proportional to 178,715.34 and 278,623.41

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Solution

The third proportional to 178,715.34 and 278,623.41 is: 434,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,715.34 : 278,623.41 = 278,623.41 : x
  2. Step 2: Convert to fraction form
    178,715.34/278,623.41 = 278,623.41/x
  3. Step 3: Cross multiply
    178,715.34x = 278,623.41 × 278,623.41
  4. Step 4: Simplify right side
    178,715.34x = 77,631,002,510.35
  5. Step 5: Solve for x
    x = 77,631,002,510.35/178,715.34
  6. Step 6: Final answer
    x = 434,383.53

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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.