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Finding the Third Proportional to 82,289 and 110,311

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Solution

The third proportional to 82,289 and 110,311 is: 147,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,289 : 110,311 = 110,311 : x
  2. Step 2: Convert to fraction form
    82,289/110,311 = 110,311/x
  3. Step 3: Cross multiply
    82,289x = 110,311 × 110,311
  4. Step 4: Simplify right side
    82,289x = 12,168,516,721
  5. Step 5: Solve for x
    x = 12,168,516,721/82,289
  6. Step 6: Final answer
    x = 147,875.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.