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Finding the Third Proportional to 137,298 and 205,450

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Solution

The third proportional to 137,298 and 205,450 is: 307,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,298 : 205,450 = 205,450 : x
  2. Step 2: Convert to fraction form
    137,298/205,450 = 205,450/x
  3. Step 3: Cross multiply
    137,298x = 205,450 × 205,450
  4. Step 4: Simplify right side
    137,298x = 42,209,702,500
  5. Step 5: Solve for x
    x = 42,209,702,500/137,298
  6. Step 6: Final answer
    x = 307,431.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.