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Finding the Third Proportional to 208,542 and 345,163.50

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Solution

The third proportional to 208,542 and 345,163.50 is: 571,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542 : 345,163.50 = 345,163.50 : x
  2. Step 2: Convert to fraction form
    208,542/345,163.50 = 345,163.50/x
  3. Step 3: Cross multiply
    208,542x = 345,163.50 × 345,163.50
  4. Step 4: Simplify right side
    208,542x = 119,137,841,732.25
  5. Step 5: Solve for x
    x = 119,137,841,732.25/208,542
  6. Step 6: Final answer
    x = 571,289.44

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.