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Finding the Third Proportional to 32,910 and 71,289

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Solution

The third proportional to 32,910 and 71,289 is: 154,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,910 : 71,289 = 71,289 : x
  2. Step 2: Convert to fraction form
    32,910/71,289 = 71,289/x
  3. Step 3: Cross multiply
    32,910x = 71,289 × 71,289
  4. Step 4: Simplify right side
    32,910x = 5,082,121,521
  5. Step 5: Solve for x
    x = 5,082,121,521/32,910
  6. Step 6: Final answer
    x = 154,424.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.