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Finding the Third Proportional to 81,999 and 128,020.50

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Solution

The third proportional to 81,999 and 128,020.50 is: 199,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,999 : 128,020.50 = 128,020.50 : x
  2. Step 2: Convert to fraction form
    81,999/128,020.50 = 128,020.50/x
  3. Step 3: Cross multiply
    81,999x = 128,020.50 × 128,020.50
  4. Step 4: Simplify right side
    81,999x = 16,389,248,420.25
  5. Step 5: Solve for x
    x = 16,389,248,420.25/81,999
  6. Step 6: Final answer
    x = 199,871.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.