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Finding the Third Proportional to 5,614.63 and 8,640.26

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Solution

The third proportional to 5,614.63 and 8,640.26 is: 13,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.63 : 8,640.26 = 8,640.26 : x
  2. Step 2: Convert to fraction form
    5,614.63/8,640.26 = 8,640.26/x
  3. Step 3: Cross multiply
    5,614.63x = 8,640.26 × 8,640.26
  4. Step 4: Simplify right side
    5,614.63x = 74,654,156.32
  5. Step 5: Solve for x
    x = 74,654,156.32/5,614.63
  6. Step 6: Final answer
    x = 13,296.37

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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.