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Finding the Third Proportional to 29,689 and 64,226

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Solution

The third proportional to 29,689 and 64,226 is: 138,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689 : 64,226 = 64,226 : x
  2. Step 2: Convert to fraction form
    29,689/64,226 = 64,226/x
  3. Step 3: Cross multiply
    29,689x = 64,226 × 64,226
  4. Step 4: Simplify right side
    29,689x = 4,124,979,076
  5. Step 5: Solve for x
    x = 4,124,979,076/29,689
  6. Step 6: Final answer
    x = 138,939.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.