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Finding the Third Proportional to 94,043.50 and 203,426

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Solution

The third proportional to 94,043.50 and 203,426 is: 440,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,043.50 : 203,426 = 203,426 : x
  2. Step 2: Convert to fraction form
    94,043.50/203,426 = 203,426/x
  3. Step 3: Cross multiply
    94,043.50x = 203,426 × 203,426
  4. Step 4: Simplify right side
    94,043.50x = 41,382,137,476
  5. Step 5: Solve for x
    x = 41,382,137,476/94,043.50
  6. Step 6: Final answer
    x = 440,031.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.