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Finding the Third Proportional to 242,563.50 and 381,666

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Solution

The third proportional to 242,563.50 and 381,666 is: 600,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,563.50 : 381,666 = 381,666 : x
  2. Step 2: Convert to fraction form
    242,563.50/381,666 = 381,666/x
  3. Step 3: Cross multiply
    242,563.50x = 381,666 × 381,666
  4. Step 4: Simplify right side
    242,563.50x = 145,668,935,556
  5. Step 5: Solve for x
    x = 145,668,935,556/242,563.50
  6. Step 6: Final answer
    x = 600,539.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.