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Finding the Third Proportional to 31,396 and 66,014

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Solution

The third proportional to 31,396 and 66,014 is: 138,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396 : 66,014 = 66,014 : x
  2. Step 2: Convert to fraction form
    31,396/66,014 = 66,014/x
  3. Step 3: Cross multiply
    31,396x = 66,014 × 66,014
  4. Step 4: Simplify right side
    31,396x = 4,357,848,196
  5. Step 5: Solve for x
    x = 4,357,848,196/31,396
  6. Step 6: Final answer
    x = 138,802.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.