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Finding the Third Proportional to 331,992 and 712,371.38

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Solution

The third proportional to 331,992 and 712,371.38 is: 1,528,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,992 : 712,371.38 = 712,371.38 : x
  2. Step 2: Convert to fraction form
    331,992/712,371.38 = 712,371.38/x
  3. Step 3: Cross multiply
    331,992x = 712,371.38 × 712,371.38
  4. Step 4: Simplify right side
    331,992x = 507,472,975,919.39
  5. Step 5: Solve for x
    x = 507,472,975,919.39/331,992
  6. Step 6: Final answer
    x = 1,528,569.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.