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Finding the Third Proportional to 52,533.75 and 78,615

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Solution

The third proportional to 52,533.75 and 78,615 is: 117,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533.75 : 78,615 = 78,615 : x
  2. Step 2: Convert to fraction form
    52,533.75/78,615 = 78,615/x
  3. Step 3: Cross multiply
    52,533.75x = 78,615 × 78,615
  4. Step 4: Simplify right side
    52,533.75x = 6,180,318,225
  5. Step 5: Solve for x
    x = 6,180,318,225/52,533.75
  6. Step 6: Final answer
    x = 117,644.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.