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Finding the Third Proportional to 77,276 and 172,048

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Solution

The third proportional to 77,276 and 172,048 is: 383,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,276 : 172,048 = 172,048 : x
  2. Step 2: Convert to fraction form
    77,276/172,048 = 172,048/x
  3. Step 3: Cross multiply
    77,276x = 172,048 × 172,048
  4. Step 4: Simplify right side
    77,276x = 29,600,514,304
  5. Step 5: Solve for x
    x = 29,600,514,304/77,276
  6. Step 6: Final answer
    x = 383,049.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.