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Finding the Third Proportional to 178,631.72 and 277,789.22

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Solution

The third proportional to 178,631.72 and 277,789.22 is: 431,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,631.72 : 277,789.22 = 277,789.22 : x
  2. Step 2: Convert to fraction form
    178,631.72/277,789.22 = 277,789.22/x
  3. Step 3: Cross multiply
    178,631.72x = 277,789.22 × 277,789.22
  4. Step 4: Simplify right side
    178,631.72x = 77,166,850,053.74
  5. Step 5: Solve for x
    x = 77,166,850,053.74/178,631.72
  6. Step 6: Final answer
    x = 431,988.51

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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.