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Finding the Third Proportional to 4,430.60 and 6,439.26

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Solution

The third proportional to 4,430.60 and 6,439.26 is: 9,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.60 : 6,439.26 = 6,439.26 : x
  2. Step 2: Convert to fraction form
    4,430.60/6,439.26 = 6,439.26/x
  3. Step 3: Cross multiply
    4,430.60x = 6,439.26 × 6,439.26
  4. Step 4: Simplify right side
    4,430.60x = 41,464,104.06
  5. Step 5: Solve for x
    x = 41,464,104.06/4,430.60
  6. Step 6: Final answer
    x = 9,358.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.