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Finding the Third Proportional to 178,569 and 270,157

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Solution

The third proportional to 178,569 and 270,157 is: 408,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,569 : 270,157 = 270,157 : x
  2. Step 2: Convert to fraction form
    178,569/270,157 = 270,157/x
  3. Step 3: Cross multiply
    178,569x = 270,157 × 270,157
  4. Step 4: Simplify right side
    178,569x = 72,984,804,649
  5. Step 5: Solve for x
    x = 72,984,804,649/178,569
  6. Step 6: Final answer
    x = 408,720.46

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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.