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Finding the Third Proportional to 104,044.50 and 214,822.13

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Solution

The third proportional to 104,044.50 and 214,822.13 is: 443,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,044.50 : 214,822.13 = 214,822.13 : x
  2. Step 2: Convert to fraction form
    104,044.50/214,822.13 = 214,822.13/x
  3. Step 3: Cross multiply
    104,044.50x = 214,822.13 × 214,822.13
  4. Step 4: Simplify right side
    104,044.50x = 46,148,545,389.52
  5. Step 5: Solve for x
    x = 46,148,545,389.52/104,044.50
  6. Step 6: Final answer
    x = 443,546.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.