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Finding the Third Proportional to 5,946.75 and 9,143.25

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Solution

The third proportional to 5,946.75 and 9,143.25 is: 14,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.75 : 9,143.25 = 9,143.25 : x
  2. Step 2: Convert to fraction form
    5,946.75/9,143.25 = 9,143.25/x
  3. Step 3: Cross multiply
    5,946.75x = 9,143.25 × 9,143.25
  4. Step 4: Simplify right side
    5,946.75x = 83,599,020.56
  5. Step 5: Solve for x
    x = 83,599,020.56/5,946.75
  6. Step 6: Final answer
    x = 14,057.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.