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Finding the Third Proportional to 5,440.92 and 8,429.06

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Solution

The third proportional to 5,440.92 and 8,429.06 is: 13,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.92 : 8,429.06 = 8,429.06 : x
  2. Step 2: Convert to fraction form
    5,440.92/8,429.06 = 8,429.06/x
  3. Step 3: Cross multiply
    5,440.92x = 8,429.06 × 8,429.06
  4. Step 4: Simplify right side
    5,440.92x = 71,049,094.63
  5. Step 5: Solve for x
    x = 71,049,094.63/5,440.92
  6. Step 6: Final answer
    x = 13,058.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.