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Finding the Third Proportional to 5,203.50 and 10,710

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Solution

The third proportional to 5,203.50 and 10,710 is: 22,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.50 : 10,710 = 10,710 : x
  2. Step 2: Convert to fraction form
    5,203.50/10,710 = 10,710/x
  3. Step 3: Cross multiply
    5,203.50x = 10,710 × 10,710
  4. Step 4: Simplify right side
    5,203.50x = 114,704,100
  5. Step 5: Solve for x
    x = 114,704,100/5,203.50
  6. Step 6: Final answer
    x = 22,043.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.