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Finding the Third Proportional to 178,139.25 and 378,138.38

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Solution

The third proportional to 178,139.25 and 378,138.38 is: 802,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,139.25 : 378,138.38 = 378,138.38 : x
  2. Step 2: Convert to fraction form
    178,139.25/378,138.38 = 378,138.38/x
  3. Step 3: Cross multiply
    178,139.25x = 378,138.38 × 378,138.38
  4. Step 4: Simplify right side
    178,139.25x = 142,988,630,647.64
  5. Step 5: Solve for x
    x = 142,988,630,647.64/178,139.25
  6. Step 6: Final answer
    x = 802,678.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.