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Finding the Third Proportional to 203,476 and 309,948

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Solution

The third proportional to 203,476 and 309,948 is: 472,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476 : 309,948 = 309,948 : x
  2. Step 2: Convert to fraction form
    203,476/309,948 = 309,948/x
  3. Step 3: Cross multiply
    203,476x = 309,948 × 309,948
  4. Step 4: Simplify right side
    203,476x = 96,067,762,704
  5. Step 5: Solve for x
    x = 96,067,762,704/203,476
  6. Step 6: Final answer
    x = 472,133.14

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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.