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Finding the Third Proportional to 82,239 and 123,025.50

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Solution

The third proportional to 82,239 and 123,025.50 is: 184,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,239 : 123,025.50 = 123,025.50 : x
  2. Step 2: Convert to fraction form
    82,239/123,025.50 = 123,025.50/x
  3. Step 3: Cross multiply
    82,239x = 123,025.50 × 123,025.50
  4. Step 4: Simplify right side
    82,239x = 15,135,273,650.25
  5. Step 5: Solve for x
    x = 15,135,273,650.25/82,239
  6. Step 6: Final answer
    x = 184,040.10

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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.