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Finding the Third Proportional to 19,755 and 31,272.75

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Solution

The third proportional to 19,755 and 31,272.75 is: 49,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755 : 31,272.75 = 31,272.75 : x
  2. Step 2: Convert to fraction form
    19,755/31,272.75 = 31,272.75/x
  3. Step 3: Cross multiply
    19,755x = 31,272.75 × 31,272.75
  4. Step 4: Simplify right side
    19,755x = 977,984,892.56
  5. Step 5: Solve for x
    x = 977,984,892.56/19,755
  6. Step 6: Final answer
    x = 49,505.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.