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Finding the Third Proportional to 203,472 and 309,942

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Solution

The third proportional to 203,472 and 309,942 is: 472,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472 : 309,942 = 309,942 : x
  2. Step 2: Convert to fraction form
    203,472/309,942 = 309,942/x
  3. Step 3: Cross multiply
    203,472x = 309,942 × 309,942
  4. Step 4: Simplify right side
    203,472x = 96,064,043,364
  5. Step 5: Solve for x
    x = 96,064,043,364/203,472
  6. Step 6: Final answer
    x = 472,124.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.