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Finding the Third Proportional to 1,459.13 and 3,220.31

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Solution

The third proportional to 1,459.13 and 3,220.31 is: 7,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.13 : 3,220.31 = 3,220.31 : x
  2. Step 2: Convert to fraction form
    1,459.13/3,220.31 = 3,220.31/x
  3. Step 3: Cross multiply
    1,459.13x = 3,220.31 × 3,220.31
  4. Step 4: Simplify right side
    1,459.13x = 10,370,412.60
  5. Step 5: Solve for x
    x = 10,370,412.60/1,459.13
  6. Step 6: Final answer
    x = 7,107.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.