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Finding the Third Proportional to 65,533.50 and 140,625

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Solution

The third proportional to 65,533.50 and 140,625 is: 301,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,533.50 : 140,625 = 140,625 : x
  2. Step 2: Convert to fraction form
    65,533.50/140,625 = 140,625/x
  3. Step 3: Cross multiply
    65,533.50x = 140,625 × 140,625
  4. Step 4: Simplify right side
    65,533.50x = 19,775,390,625
  5. Step 5: Solve for x
    x = 19,775,390,625/65,533.50
  6. Step 6: Final answer
    x = 301,760.03

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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.