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Finding the Third Proportional to 31,210.31 and 66,885.75

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Solution

The third proportional to 31,210.31 and 66,885.75 is: 143,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.31 : 66,885.75 = 66,885.75 : x
  2. Step 2: Convert to fraction form
    31,210.31/66,885.75 = 66,885.75/x
  3. Step 3: Cross multiply
    31,210.31x = 66,885.75 × 66,885.75
  4. Step 4: Simplify right side
    31,210.31x = 4,473,703,553.06
  5. Step 5: Solve for x
    x = 4,473,703,553.06/31,210.31
  6. Step 6: Final answer
    x = 143,340.56

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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.