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Finding the Third Proportional to 20,431 and 43,989.50

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Solution

The third proportional to 20,431 and 43,989.50 is: 94,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431 : 43,989.50 = 43,989.50 : x
  2. Step 2: Convert to fraction form
    20,431/43,989.50 = 43,989.50/x
  3. Step 3: Cross multiply
    20,431x = 43,989.50 × 43,989.50
  4. Step 4: Simplify right side
    20,431x = 1,935,076,110.25
  5. Step 5: Solve for x
    x = 1,935,076,110.25/20,431
  6. Step 6: Final answer
    x = 94,712.75

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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.