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Finding the Third Proportional to 31,566.19 and 68,139.75

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Solution

The third proportional to 31,566.19 and 68,139.75 is: 147,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.19 : 68,139.75 = 68,139.75 : x
  2. Step 2: Convert to fraction form
    31,566.19/68,139.75 = 68,139.75/x
  3. Step 3: Cross multiply
    31,566.19x = 68,139.75 × 68,139.75
  4. Step 4: Simplify right side
    31,566.19x = 4,643,025,530.06
  5. Step 5: Solve for x
    x = 4,643,025,530.06/31,566.19
  6. Step 6: Final answer
    x = 147,088.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.