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Finding the Third Proportional to 199,803.80 and 428,106.94

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Solution

The third proportional to 199,803.80 and 428,106.94 is: 917,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,803.80 : 428,106.94 = 428,106.94 : x
  2. Step 2: Convert to fraction form
    199,803.80/428,106.94 = 428,106.94/x
  3. Step 3: Cross multiply
    199,803.80x = 428,106.94 × 428,106.94
  4. Step 4: Simplify right side
    199,803.80x = 183,275,549,935.63
  5. Step 5: Solve for x
    x = 183,275,549,935.63/199,803.80
  6. Step 6: Final answer
    x = 917,277.61

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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.