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Finding the Third Proportional to 331,884 and 514,755

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Solution

The third proportional to 331,884 and 514,755 is: 798,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,884 : 514,755 = 514,755 : x
  2. Step 2: Convert to fraction form
    331,884/514,755 = 514,755/x
  3. Step 3: Cross multiply
    331,884x = 514,755 × 514,755
  4. Step 4: Simplify right side
    331,884x = 264,972,710,025
  5. Step 5: Solve for x
    x = 264,972,710,025/331,884
  6. Step 6: Final answer
    x = 798,389.53

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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.