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Finding the Third Proportional to 276,128 and 603,952

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Solution

The third proportional to 276,128 and 603,952 is: 1,320,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,128 : 603,952 = 603,952 : x
  2. Step 2: Convert to fraction form
    276,128/603,952 = 603,952/x
  3. Step 3: Cross multiply
    276,128x = 603,952 × 603,952
  4. Step 4: Simplify right side
    276,128x = 364,758,018,304
  5. Step 5: Solve for x
    x = 364,758,018,304/276,128
  6. Step 6: Final answer
    x = 1,320,974.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.