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Finding the Third Proportional to 199,803.94 and 428,107.50

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Solution

The third proportional to 199,803.94 and 428,107.50 is: 917,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,803.94 : 428,107.50 = 428,107.50 : x
  2. Step 2: Convert to fraction form
    199,803.94/428,107.50 = 428,107.50/x
  3. Step 3: Cross multiply
    199,803.94x = 428,107.50 × 428,107.50
  4. Step 4: Simplify right side
    199,803.94x = 183,276,031,556.25
  5. Step 5: Solve for x
    x = 183,276,031,556.25/199,803.94
  6. Step 6: Final answer
    x = 917,279.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.