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Finding the Third Proportional to 29,311 and 69,146

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Solution

The third proportional to 29,311 and 69,146 is: 163,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311 : 69,146 = 69,146 : x
  2. Step 2: Convert to fraction form
    29,311/69,146 = 69,146/x
  3. Step 3: Cross multiply
    29,311x = 69,146 × 69,146
  4. Step 4: Simplify right side
    29,311x = 4,781,169,316
  5. Step 5: Solve for x
    x = 4,781,169,316/29,311
  6. Step 6: Final answer
    x = 163,118.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.