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Finding the Third Proportional to 331,968 and 514,880

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Solution

The third proportional to 331,968 and 514,880 is: 798,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,968 : 514,880 = 514,880 : x
  2. Step 2: Convert to fraction form
    331,968/514,880 = 514,880/x
  3. Step 3: Cross multiply
    331,968x = 514,880 × 514,880
  4. Step 4: Simplify right side
    331,968x = 265,101,414,400
  5. Step 5: Solve for x
    x = 265,101,414,400/331,968
  6. Step 6: Final answer
    x = 798,575.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.