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Finding the Third Proportional to 31,202 and 66,867.50

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Solution

The third proportional to 31,202 and 66,867.50 is: 143,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202 : 66,867.50 = 66,867.50 : x
  2. Step 2: Convert to fraction form
    31,202/66,867.50 = 66,867.50/x
  3. Step 3: Cross multiply
    31,202x = 66,867.50 × 66,867.50
  4. Step 4: Simplify right side
    31,202x = 4,471,262,556.25
  5. Step 5: Solve for x
    x = 4,471,262,556.25/31,202
  6. Step 6: Final answer
    x = 143,300.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.