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Finding the Third Proportional to 43,848.75 and 96,445.50

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Solution

The third proportional to 43,848.75 and 96,445.50 is: 212,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,848.75 : 96,445.50 = 96,445.50 : x
  2. Step 2: Convert to fraction form
    43,848.75/96,445.50 = 96,445.50/x
  3. Step 3: Cross multiply
    43,848.75x = 96,445.50 × 96,445.50
  4. Step 4: Simplify right side
    43,848.75x = 9,301,734,470.25
  5. Step 5: Solve for x
    x = 9,301,734,470.25/43,848.75
  6. Step 6: Final answer
    x = 212,132.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.