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Finding the Third Proportional to 75,255 and 176,289

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Solution

The third proportional to 75,255 and 176,289 is: 412,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,255 : 176,289 = 176,289 : x
  2. Step 2: Convert to fraction form
    75,255/176,289 = 176,289/x
  3. Step 3: Cross multiply
    75,255x = 176,289 × 176,289
  4. Step 4: Simplify right side
    75,255x = 31,077,811,521
  5. Step 5: Solve for x
    x = 31,077,811,521/75,255
  6. Step 6: Final answer
    x = 412,966.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.