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Finding the Third Proportional to 276,352 and 573,476

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Solution

The third proportional to 276,352 and 573,476 is: 1,190,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,352 : 573,476 = 573,476 : x
  2. Step 2: Convert to fraction form
    276,352/573,476 = 573,476/x
  3. Step 3: Cross multiply
    276,352x = 573,476 × 573,476
  4. Step 4: Simplify right side
    276,352x = 328,874,722,576
  5. Step 5: Solve for x
    x = 328,874,722,576/276,352
  6. Step 6: Final answer
    x = 1,190,057.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.