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Finding the Third Proportional to 4,009.50 and 8,457.75

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Solution

The third proportional to 4,009.50 and 8,457.75 is: 17,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.50 : 8,457.75 = 8,457.75 : x
  2. Step 2: Convert to fraction form
    4,009.50/8,457.75 = 8,457.75/x
  3. Step 3: Cross multiply
    4,009.50x = 8,457.75 × 8,457.75
  4. Step 4: Simplify right side
    4,009.50x = 71,533,535.06
  5. Step 5: Solve for x
    x = 71,533,535.06/4,009.50
  6. Step 6: Final answer
    x = 17,841.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.