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Finding the Third Proportional to 178,695 and 277,844

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Solution

The third proportional to 178,695 and 277,844 is: 432,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,695 : 277,844 = 277,844 : x
  2. Step 2: Convert to fraction form
    178,695/277,844 = 277,844/x
  3. Step 3: Cross multiply
    178,695x = 277,844 × 277,844
  4. Step 4: Simplify right side
    178,695x = 77,197,288,336
  5. Step 5: Solve for x
    x = 77,197,288,336/178,695
  6. Step 6: Final answer
    x = 432,005.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.