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Finding the Third Proportional to 203,908 and 310,358

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Solution

The third proportional to 203,908 and 310,358 is: 472,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908 : 310,358 = 310,358 : x
  2. Step 2: Convert to fraction form
    203,908/310,358 = 310,358/x
  3. Step 3: Cross multiply
    203,908x = 310,358 × 310,358
  4. Step 4: Simplify right side
    203,908x = 96,322,088,164
  5. Step 5: Solve for x
    x = 96,322,088,164/203,908
  6. Step 6: Final answer
    x = 472,380.13

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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.