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Finding the Third Proportional to 514,096 and 768,120

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Solution

The third proportional to 514,096 and 768,120 is: 1,147,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,096 : 768,120 = 768,120 : x
  2. Step 2: Convert to fraction form
    514,096/768,120 = 768,120/x
  3. Step 3: Cross multiply
    514,096x = 768,120 × 768,120
  4. Step 4: Simplify right side
    514,096x = 590,008,334,400
  5. Step 5: Solve for x
    x = 590,008,334,400/514,096
  6. Step 6: Final answer
    x = 1,147,661.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.