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Finding the Third Proportional to 71,298 and 154,913

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Solution

The third proportional to 71,298 and 154,913 is: 336,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298 : 154,913 = 154,913 : x
  2. Step 2: Convert to fraction form
    71,298/154,913 = 154,913/x
  3. Step 3: Cross multiply
    71,298x = 154,913 × 154,913
  4. Step 4: Simplify right side
    71,298x = 23,998,037,569
  5. Step 5: Solve for x
    x = 23,998,037,569/71,298
  6. Step 6: Final answer
    x = 336,587.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.