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Finding the Third Proportional to 276,269 and 415,429

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Solution

The third proportional to 276,269 and 415,429 is: 624,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,269 : 415,429 = 415,429 : x
  2. Step 2: Convert to fraction form
    276,269/415,429 = 415,429/x
  3. Step 3: Cross multiply
    276,269x = 415,429 × 415,429
  4. Step 4: Simplify right side
    276,269x = 172,581,254,041
  5. Step 5: Solve for x
    x = 172,581,254,041/276,269
  6. Step 6: Final answer
    x = 624,685.56

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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.