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Finding the Third Proportional to 368,298 and 557,427

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Solution

The third proportional to 368,298 and 557,427 is: 843,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,298 : 557,427 = 557,427 : x
  2. Step 2: Convert to fraction form
    368,298/557,427 = 557,427/x
  3. Step 3: Cross multiply
    368,298x = 557,427 × 557,427
  4. Step 4: Simplify right side
    368,298x = 310,724,860,329
  5. Step 5: Solve for x
    x = 310,724,860,329/368,298
  6. Step 6: Final answer
    x = 843,677.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.