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Finding the Third Proportional to 31,389 and 66,009

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Solution

The third proportional to 31,389 and 66,009 is: 138,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389 : 66,009 = 66,009 : x
  2. Step 2: Convert to fraction form
    31,389/66,009 = 66,009/x
  3. Step 3: Cross multiply
    31,389x = 66,009 × 66,009
  4. Step 4: Simplify right side
    31,389x = 4,357,188,081
  5. Step 5: Solve for x
    x = 4,357,188,081/31,389
  6. Step 6: Final answer
    x = 138,812.58

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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.