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Finding the Third Proportional to 131,808 and 289,824

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Solution

The third proportional to 131,808 and 289,824 is: 637,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,808 : 289,824 = 289,824 : x
  2. Step 2: Convert to fraction form
    131,808/289,824 = 289,824/x
  3. Step 3: Cross multiply
    131,808x = 289,824 × 289,824
  4. Step 4: Simplify right side
    131,808x = 83,997,950,976
  5. Step 5: Solve for x
    x = 83,997,950,976/131,808
  6. Step 6: Final answer
    x = 637,275.06

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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.