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Finding the Third Proportional to 276,140 and 603,968

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Solution

The third proportional to 276,140 and 603,968 is: 1,320,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,140 : 603,968 = 603,968 : x
  2. Step 2: Convert to fraction form
    276,140/603,968 = 603,968/x
  3. Step 3: Cross multiply
    276,140x = 603,968 × 603,968
  4. Step 4: Simplify right side
    276,140x = 364,777,345,024
  5. Step 5: Solve for x
    x = 364,777,345,024/276,140
  6. Step 6: Final answer
    x = 1,320,986.98

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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.