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Finding the Third Proportional to 1,292.63 and 3,438.56

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Solution

The third proportional to 1,292.63 and 3,438.56 is: 9,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.63 : 3,438.56 = 3,438.56 : x
  2. Step 2: Convert to fraction form
    1,292.63/3,438.56 = 3,438.56/x
  3. Step 3: Cross multiply
    1,292.63x = 3,438.56 × 3,438.56
  4. Step 4: Simplify right side
    1,292.63x = 11,823,712.07
  5. Step 5: Solve for x
    x = 11,823,712.07/1,292.63
  6. Step 6: Final answer
    x = 9,147.06

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.