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Finding the Third Proportional to 115,449.75 and 243,407.25

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Solution

The third proportional to 115,449.75 and 243,407.25 is: 513,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,449.75 : 243,407.25 = 243,407.25 : x
  2. Step 2: Convert to fraction form
    115,449.75/243,407.25 = 243,407.25/x
  3. Step 3: Cross multiply
    115,449.75x = 243,407.25 × 243,407.25
  4. Step 4: Simplify right side
    115,449.75x = 59,247,089,352.56
  5. Step 5: Solve for x
    x = 59,247,089,352.56/115,449.75
  6. Step 6: Final answer
    x = 513,185.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.