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Finding the Third Proportional to 15,643.75 and 31,830.75

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Solution

The third proportional to 15,643.75 and 31,830.75 is: 64,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.75 : 31,830.75 = 31,830.75 : x
  2. Step 2: Convert to fraction form
    15,643.75/31,830.75 = 31,830.75/x
  3. Step 3: Cross multiply
    15,643.75x = 31,830.75 × 31,830.75
  4. Step 4: Simplify right side
    15,643.75x = 1,013,196,645.56
  5. Step 5: Solve for x
    x = 1,013,196,645.56/15,643.75
  6. Step 6: Final answer
    x = 64,766.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.