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Finding the Third Proportional to 515,121 and 787,992

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Solution

The third proportional to 515,121 and 787,992 is: 1,205,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,121 : 787,992 = 787,992 : x
  2. Step 2: Convert to fraction form
    515,121/787,992 = 787,992/x
  3. Step 3: Cross multiply
    515,121x = 787,992 × 787,992
  4. Step 4: Simplify right side
    515,121x = 620,931,392,064
  5. Step 5: Solve for x
    x = 620,931,392,064/515,121
  6. Step 6: Final answer
    x = 1,205,408.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.