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Finding the Third Proportional to 31,169 and 36,515

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Solution

The third proportional to 31,169 and 36,515 is: 42,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169 : 36,515 = 36,515 : x
  2. Step 2: Convert to fraction form
    31,169/36,515 = 36,515/x
  3. Step 3: Cross multiply
    31,169x = 36,515 × 36,515
  4. Step 4: Simplify right side
    31,169x = 1,333,345,225
  5. Step 5: Solve for x
    x = 1,333,345,225/31,169
  6. Step 6: Final answer
    x = 42,777.93

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.