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Finding the Third Proportional to 5,984.55 and 9,560.68

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Solution

The third proportional to 5,984.55 and 9,560.68 is: 15,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.55 : 9,560.68 = 9,560.68 : x
  2. Step 2: Convert to fraction form
    5,984.55/9,560.68 = 9,560.68/x
  3. Step 3: Cross multiply
    5,984.55x = 9,560.68 × 9,560.68
  4. Step 4: Simplify right side
    5,984.55x = 91,406,664.65
  5. Step 5: Solve for x
    x = 91,406,664.65/5,984.55
  6. Step 6: Final answer
    x = 15,273.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.