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Finding the Third Proportional to 3,186 and 6,457.50

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Solution

The third proportional to 3,186 and 6,457.50 is: 13,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 6,457.50 = 6,457.50 : x
  2. Step 2: Convert to fraction form
    3,186/6,457.50 = 6,457.50/x
  3. Step 3: Cross multiply
    3,186x = 6,457.50 × 6,457.50
  4. Step 4: Simplify right side
    3,186x = 41,699,306.25
  5. Step 5: Solve for x
    x = 41,699,306.25/3,186
  6. Step 6: Final answer
    x = 13,088.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.