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Finding the Third Proportional to 31,386 and 66,003

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Solution

The third proportional to 31,386 and 66,003 is: 138,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386 : 66,003 = 66,003 : x
  2. Step 2: Convert to fraction form
    31,386/66,003 = 66,003/x
  3. Step 3: Cross multiply
    31,386x = 66,003 × 66,003
  4. Step 4: Simplify right side
    31,386x = 4,356,396,009
  5. Step 5: Solve for x
    x = 4,356,396,009/31,386
  6. Step 6: Final answer
    x = 138,800.61

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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.