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Finding the Third Proportional to 115,272 and 172,176

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Solution

The third proportional to 115,272 and 172,176 is: 257,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,272 : 172,176 = 172,176 : x
  2. Step 2: Convert to fraction form
    115,272/172,176 = 172,176/x
  3. Step 3: Cross multiply
    115,272x = 172,176 × 172,176
  4. Step 4: Simplify right side
    115,272x = 29,644,574,976
  5. Step 5: Solve for x
    x = 29,644,574,976/115,272
  6. Step 6: Final answer
    x = 257,170.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.