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Finding the Third Proportional to 203,508.75 and 299,165.63

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Solution

The third proportional to 203,508.75 and 299,165.63 is: 439,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,508.75 : 299,165.63 = 299,165.63 : x
  2. Step 2: Convert to fraction form
    203,508.75/299,165.63 = 299,165.63/x
  3. Step 3: Cross multiply
    203,508.75x = 299,165.63 × 299,165.63
  4. Step 4: Simplify right side
    203,508.75x = 89,500,071,181.64
  5. Step 5: Solve for x
    x = 89,500,071,181.64/203,508.75
  6. Step 6: Final answer
    x = 439,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.