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Finding the Third Proportional to 208,710 and 450,769

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Solution

The third proportional to 208,710 and 450,769 is: 973,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,710 : 450,769 = 450,769 : x
  2. Step 2: Convert to fraction form
    208,710/450,769 = 450,769/x
  3. Step 3: Cross multiply
    208,710x = 450,769 × 450,769
  4. Step 4: Simplify right side
    208,710x = 203,192,691,361
  5. Step 5: Solve for x
    x = 203,192,691,361/208,710
  6. Step 6: Final answer
    x = 973,564.71

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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.