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Finding the Third Proportional to 488,954 and 778,022

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Solution

The third proportional to 488,954 and 778,022 is: 1,237,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,954 : 778,022 = 778,022 : x
  2. Step 2: Convert to fraction form
    488,954/778,022 = 778,022/x
  3. Step 3: Cross multiply
    488,954x = 778,022 × 778,022
  4. Step 4: Simplify right side
    488,954x = 605,318,232,484
  5. Step 5: Solve for x
    x = 605,318,232,484/488,954
  6. Step 6: Final answer
    x = 1,237,986.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.