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Finding the Third Proportional to 4,360.78 and 9,445.22

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Solution

The third proportional to 4,360.78 and 9,445.22 is: 20,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360.78 : 9,445.22 = 9,445.22 : x
  2. Step 2: Convert to fraction form
    4,360.78/9,445.22 = 9,445.22/x
  3. Step 3: Cross multiply
    4,360.78x = 9,445.22 × 9,445.22
  4. Step 4: Simplify right side
    4,360.78x = 89,212,157.24
  5. Step 5: Solve for x
    x = 89,212,157.24/4,360.78
  6. Step 6: Final answer
    x = 20,457.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.