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Finding the Third Proportional to 276,310 and 415,490

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Solution

The third proportional to 276,310 and 415,490 is: 624,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,310 : 415,490 = 415,490 : x
  2. Step 2: Convert to fraction form
    276,310/415,490 = 415,490/x
  3. Step 3: Cross multiply
    276,310x = 415,490 × 415,490
  4. Step 4: Simplify right side
    276,310x = 172,631,940,100
  5. Step 5: Solve for x
    x = 172,631,940,100/276,310
  6. Step 6: Final answer
    x = 624,776.30

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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.