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Finding the Third Proportional to 135,509.75 and 291,835.50

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Solution

The third proportional to 135,509.75 and 291,835.50 is: 628,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,509.75 : 291,835.50 = 291,835.50 : x
  2. Step 2: Convert to fraction form
    135,509.75/291,835.50 = 291,835.50/x
  3. Step 3: Cross multiply
    135,509.75x = 291,835.50 × 291,835.50
  4. Step 4: Simplify right side
    135,509.75x = 85,167,959,060.25
  5. Step 5: Solve for x
    x = 85,167,959,060.25/135,509.75
  6. Step 6: Final answer
    x = 628,500.60

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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.