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Finding the Third Proportional to 515,115 and 787,986

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Solution

The third proportional to 515,115 and 787,986 is: 1,205,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,115 : 787,986 = 787,986 : x
  2. Step 2: Convert to fraction form
    515,115/787,986 = 787,986/x
  3. Step 3: Cross multiply
    515,115x = 787,986 × 787,986
  4. Step 4: Simplify right side
    515,115x = 620,921,936,196
  5. Step 5: Solve for x
    x = 620,921,936,196/515,115
  6. Step 6: Final answer
    x = 1,205,404.49

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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.