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Finding the Third Proportional to 131,769 and 289,777

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Solution

The third proportional to 131,769 and 289,777 is: 637,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,769 : 289,777 = 289,777 : x
  2. Step 2: Convert to fraction form
    131,769/289,777 = 289,777/x
  3. Step 3: Cross multiply
    131,769x = 289,777 × 289,777
  4. Step 4: Simplify right side
    131,769x = 83,970,709,729
  5. Step 5: Solve for x
    x = 83,970,709,729/131,769
  6. Step 6: Final answer
    x = 637,256.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.