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Finding the Third Proportional to 31,107.80 and 66,830.70

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Solution

The third proportional to 31,107.80 and 66,830.70 is: 143,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.80 : 66,830.70 = 66,830.70 : x
  2. Step 2: Convert to fraction form
    31,107.80/66,830.70 = 66,830.70/x
  3. Step 3: Cross multiply
    31,107.80x = 66,830.70 × 66,830.70
  4. Step 4: Simplify right side
    31,107.80x = 4,466,341,835.95
  5. Step 5: Solve for x
    x = 4,466,341,835.95/31,107.80
  6. Step 6: Final answer
    x = 143,576.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.