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Finding the Third Proportional to 135,816.75 and 292,430.25

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Solution

The third proportional to 135,816.75 and 292,430.25 is: 629,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,816.75 : 292,430.25 = 292,430.25 : x
  2. Step 2: Convert to fraction form
    135,816.75/292,430.25 = 292,430.25/x
  3. Step 3: Cross multiply
    135,816.75x = 292,430.25 × 292,430.25
  4. Step 4: Simplify right side
    135,816.75x = 85,515,451,115.06
  5. Step 5: Solve for x
    x = 85,515,451,115.06/135,816.75
  6. Step 6: Final answer
    x = 629,638.47

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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.