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Finding the Third Proportional to 331,071 and 512,534

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Solution

The third proportional to 331,071 and 512,534 is: 793,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,071 : 512,534 = 512,534 : x
  2. Step 2: Convert to fraction form
    331,071/512,534 = 512,534/x
  3. Step 3: Cross multiply
    331,071x = 512,534 × 512,534
  4. Step 4: Simplify right side
    331,071x = 262,691,101,156
  5. Step 5: Solve for x
    x = 262,691,101,156/331,071
  6. Step 6: Final answer
    x = 793,458.51

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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.