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Finding the Third Proportional to 199,788.75 and 428,008.50

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Solution

The third proportional to 199,788.75 and 428,008.50 is: 916,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,788.75 : 428,008.50 = 428,008.50 : x
  2. Step 2: Convert to fraction form
    199,788.75/428,008.50 = 428,008.50/x
  3. Step 3: Cross multiply
    199,788.75x = 428,008.50 × 428,008.50
  4. Step 4: Simplify right side
    199,788.75x = 183,191,276,072.25
  5. Step 5: Solve for x
    x = 183,191,276,072.25/199,788.75
  6. Step 6: Final answer
    x = 916,924.88

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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.