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Finding the Third Proportional to 5,953.50 and 9,028.13

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Solution

The third proportional to 5,953.50 and 9,028.13 is: 13,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.50 : 9,028.13 = 9,028.13 : x
  2. Step 2: Convert to fraction form
    5,953.50/9,028.13 = 9,028.13/x
  3. Step 3: Cross multiply
    5,953.50x = 9,028.13 × 9,028.13
  4. Step 4: Simplify right side
    5,953.50x = 81,507,041.02
  5. Step 5: Solve for x
    x = 81,507,041.02/5,953.50
  6. Step 6: Final answer
    x = 13,690.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.