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Finding the Third Proportional to 3,457.50 and 5,402.25

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Solution

The third proportional to 3,457.50 and 5,402.25 is: 8,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.50 : 5,402.25 = 5,402.25 : x
  2. Step 2: Convert to fraction form
    3,457.50/5,402.25 = 5,402.25/x
  3. Step 3: Cross multiply
    3,457.50x = 5,402.25 × 5,402.25
  4. Step 4: Simplify right side
    3,457.50x = 29,184,305.06
  5. Step 5: Solve for x
    x = 29,184,305.06/3,457.50
  6. Step 6: Final answer
    x = 8,440.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.