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Finding the Third Proportional to 199,546.88 and 428,618.25

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Solution

The third proportional to 199,546.88 and 428,618.25 is: 920,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,546.88 : 428,618.25 = 428,618.25 : x
  2. Step 2: Convert to fraction form
    199,546.88/428,618.25 = 428,618.25/x
  3. Step 3: Cross multiply
    199,546.88x = 428,618.25 × 428,618.25
  4. Step 4: Simplify right side
    199,546.88x = 183,713,604,233.06
  5. Step 5: Solve for x
    x = 183,713,604,233.06/199,546.88
  6. Step 6: Final answer
    x = 920,653.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.