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Finding the Third Proportional to 72,115.50 and 156,399

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Solution

The third proportional to 72,115.50 and 156,399 is: 339,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,115.50 : 156,399 = 156,399 : x
  2. Step 2: Convert to fraction form
    72,115.50/156,399 = 156,399/x
  3. Step 3: Cross multiply
    72,115.50x = 156,399 × 156,399
  4. Step 4: Simplify right side
    72,115.50x = 24,460,647,201
  5. Step 5: Solve for x
    x = 24,460,647,201/72,115.50
  6. Step 6: Final answer
    x = 339,187.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.