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Finding the Third Proportional to 3,430.00 and 7,129.11

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Solution

The third proportional to 3,430.00 and 7,129.11 is: 14,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.00 : 7,129.11 = 7,129.11 : x
  2. Step 2: Convert to fraction form
    3,430.00/7,129.11 = 7,129.11/x
  3. Step 3: Cross multiply
    3,430.00x = 7,129.11 × 7,129.11
  4. Step 4: Simplify right side
    3,430.00x = 50,824,172.63
  5. Step 5: Solve for x
    x = 50,824,172.63/3,430.00
  6. Step 6: Final answer
    x = 14,817.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.