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Finding the Third Proportional to 253,083 and 381,281

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Solution

The third proportional to 253,083 and 381,281 is: 574,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,083 : 381,281 = 381,281 : x
  2. Step 2: Convert to fraction form
    253,083/381,281 = 381,281/x
  3. Step 3: Cross multiply
    253,083x = 381,281 × 381,281
  4. Step 4: Simplify right side
    253,083x = 145,375,200,961
  5. Step 5: Solve for x
    x = 145,375,200,961/253,083
  6. Step 6: Final answer
    x = 574,417.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.