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Finding the Third Proportional to 39,731.50 and 84,201.50

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Solution

The third proportional to 39,731.50 and 84,201.50 is: 178,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,731.50 : 84,201.50 = 84,201.50 : x
  2. Step 2: Convert to fraction form
    39,731.50/84,201.50 = 84,201.50/x
  3. Step 3: Cross multiply
    39,731.50x = 84,201.50 × 84,201.50
  4. Step 4: Simplify right side
    39,731.50x = 7,089,892,602.25
  5. Step 5: Solve for x
    x = 7,089,892,602.25/39,731.50
  6. Step 6: Final answer
    x = 178,445.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.