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Finding the Third Proportional to 5,640.26 and 8,938.79

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Solution

The third proportional to 5,640.26 and 8,938.79 is: 14,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.26 : 8,938.79 = 8,938.79 : x
  2. Step 2: Convert to fraction form
    5,640.26/8,938.79 = 8,938.79/x
  3. Step 3: Cross multiply
    5,640.26x = 8,938.79 × 8,938.79
  4. Step 4: Simplify right side
    5,640.26x = 79,902,019.74
  5. Step 5: Solve for x
    x = 79,902,019.74/5,640.26
  6. Step 6: Final answer
    x = 14,166.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.