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Finding the Third Proportional to 203,528 and 311,352

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Solution

The third proportional to 203,528 and 311,352 is: 476,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,528 : 311,352 = 311,352 : x
  2. Step 2: Convert to fraction form
    203,528/311,352 = 311,352/x
  3. Step 3: Cross multiply
    203,528x = 311,352 × 311,352
  4. Step 4: Simplify right side
    203,528x = 96,940,067,904
  5. Step 5: Solve for x
    x = 96,940,067,904/203,528
  6. Step 6: Final answer
    x = 476,298.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.