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Finding the Third Proportional to 208,666 and 449,780

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Solution

The third proportional to 208,666 and 449,780 is: 969,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666 : 449,780 = 449,780 : x
  2. Step 2: Convert to fraction form
    208,666/449,780 = 449,780/x
  3. Step 3: Cross multiply
    208,666x = 449,780 × 449,780
  4. Step 4: Simplify right side
    208,666x = 202,302,048,400
  5. Step 5: Solve for x
    x = 202,302,048,400/208,666
  6. Step 6: Final answer
    x = 969,501.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.