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Finding the Third Proportional to 276,253.31 and 415,408.13

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Solution

The third proportional to 276,253.31 and 415,408.13 is: 624,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,253.31 : 415,408.13 = 415,408.13 : x
  2. Step 2: Convert to fraction form
    276,253.31/415,408.13 = 415,408.13/x
  3. Step 3: Cross multiply
    276,253.31x = 415,408.13 × 415,408.13
  4. Step 4: Simplify right side
    276,253.31x = 172,563,910,316.02
  5. Step 5: Solve for x
    x = 172,563,910,316.02/276,253.31
  6. Step 6: Final answer
    x = 624,658.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.