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Finding the Third Proportional to 64,622 and 87,289

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Solution

The third proportional to 64,622 and 87,289 is: 117,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,622 : 87,289 = 87,289 : x
  2. Step 2: Convert to fraction form
    64,622/87,289 = 87,289/x
  3. Step 3: Cross multiply
    64,622x = 87,289 × 87,289
  4. Step 4: Simplify right side
    64,622x = 7,619,369,521
  5. Step 5: Solve for x
    x = 7,619,369,521/64,622
  6. Step 6: Final answer
    x = 117,906.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.