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Finding the Third Proportional to 203,520 and 442,056

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Solution

The third proportional to 203,520 and 442,056 is: 960,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,520 : 442,056 = 442,056 : x
  2. Step 2: Convert to fraction form
    203,520/442,056 = 442,056/x
  3. Step 3: Cross multiply
    203,520x = 442,056 × 442,056
  4. Step 4: Simplify right side
    203,520x = 195,413,507,136
  5. Step 5: Solve for x
    x = 195,413,507,136/203,520
  6. Step 6: Final answer
    x = 960,168.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.