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Finding the Third Proportional to 276,270 and 415,431

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Solution

The third proportional to 276,270 and 415,431 is: 624,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,270 : 415,431 = 415,431 : x
  2. Step 2: Convert to fraction form
    276,270/415,431 = 415,431/x
  3. Step 3: Cross multiply
    276,270x = 415,431 × 415,431
  4. Step 4: Simplify right side
    276,270x = 172,582,915,761
  5. Step 5: Solve for x
    x = 172,582,915,761/276,270
  6. Step 6: Final answer
    x = 624,689.31

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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.