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Finding the Third Proportional to 515,119 and 787,989

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Solution

The third proportional to 515,119 and 787,989 is: 1,205,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,119 : 787,989 = 787,989 : x
  2. Step 2: Convert to fraction form
    515,119/787,989 = 787,989/x
  3. Step 3: Cross multiply
    515,119x = 787,989 × 787,989
  4. Step 4: Simplify right side
    515,119x = 620,926,664,121
  5. Step 5: Solve for x
    x = 620,926,664,121/515,119
  6. Step 6: Final answer
    x = 1,205,404.31

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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.