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Finding the Third Proportional to 5,971.50 and 9,504

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Solution

The third proportional to 5,971.50 and 9,504 is: 15,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 9,504 = 9,504 : x
  2. Step 2: Convert to fraction form
    5,971.50/9,504 = 9,504/x
  3. Step 3: Cross multiply
    5,971.50x = 9,504 × 9,504
  4. Step 4: Simplify right side
    5,971.50x = 90,326,016
  5. Step 5: Solve for x
    x = 90,326,016/5,971.50
  6. Step 6: Final answer
    x = 15,126.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.