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Finding the Third Proportional to 178,078 and 254,635

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Solution

The third proportional to 178,078 and 254,635 is: 364,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,078 : 254,635 = 254,635 : x
  2. Step 2: Convert to fraction form
    178,078/254,635 = 254,635/x
  3. Step 3: Cross multiply
    178,078x = 254,635 × 254,635
  4. Step 4: Simplify right side
    178,078x = 64,838,983,225
  5. Step 5: Solve for x
    x = 64,838,983,225/178,078
  6. Step 6: Final answer
    x = 364,104.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.