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Finding the Third Proportional to 178,580 and 270,174

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Solution

The third proportional to 178,580 and 270,174 is: 408,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,580 : 270,174 = 270,174 : x
  2. Step 2: Convert to fraction form
    178,580/270,174 = 270,174/x
  3. Step 3: Cross multiply
    178,580x = 270,174 × 270,174
  4. Step 4: Simplify right side
    178,580x = 72,993,990,276
  5. Step 5: Solve for x
    x = 72,993,990,276/178,580
  6. Step 6: Final answer
    x = 408,746.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.