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Finding the Third Proportional to 69,544 and 142,394

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Solution

The third proportional to 69,544 and 142,394 is: 291,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,544 : 142,394 = 142,394 : x
  2. Step 2: Convert to fraction form
    69,544/142,394 = 142,394/x
  3. Step 3: Cross multiply
    69,544x = 142,394 × 142,394
  4. Step 4: Simplify right side
    69,544x = 20,276,051,236
  5. Step 5: Solve for x
    x = 20,276,051,236/69,544
  6. Step 6: Final answer
    x = 291,557.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.