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Finding the Third Proportional to 4,389.12 and 6,419.32

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Solution

The third proportional to 4,389.12 and 6,419.32 is: 9,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.12 : 6,419.32 = 6,419.32 : x
  2. Step 2: Convert to fraction form
    4,389.12/6,419.32 = 6,419.32/x
  3. Step 3: Cross multiply
    4,389.12x = 6,419.32 × 6,419.32
  4. Step 4: Simplify right side
    4,389.12x = 41,207,673.27
  5. Step 5: Solve for x
    x = 41,207,673.27/4,389.12
  6. Step 6: Final answer
    x = 9,388.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.