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Finding the Third Proportional to 94,592 and 203,536

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Solution

The third proportional to 94,592 and 203,536 is: 437,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,592 : 203,536 = 203,536 : x
  2. Step 2: Convert to fraction form
    94,592/203,536 = 203,536/x
  3. Step 3: Cross multiply
    94,592x = 203,536 × 203,536
  4. Step 4: Simplify right side
    94,592x = 41,426,903,296
  5. Step 5: Solve for x
    x = 41,426,903,296/94,592
  6. Step 6: Final answer
    x = 437,953.56

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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.