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Finding the Third Proportional to 19,910 and 43,512.50

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Solution

The third proportional to 19,910 and 43,512.50 is: 95,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,910 : 43,512.50 = 43,512.50 : x
  2. Step 2: Convert to fraction form
    19,910/43,512.50 = 43,512.50/x
  3. Step 3: Cross multiply
    19,910x = 43,512.50 × 43,512.50
  4. Step 4: Simplify right side
    19,910x = 1,893,337,656.25
  5. Step 5: Solve for x
    x = 1,893,337,656.25/19,910
  6. Step 6: Final answer
    x = 95,094.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.