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Finding the Third Proportional to 6,420.94 and 13,801.22

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Solution

The third proportional to 6,420.94 and 13,801.22 is: 29,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.94 : 13,801.22 = 13,801.22 : x
  2. Step 2: Convert to fraction form
    6,420.94/13,801.22 = 13,801.22/x
  3. Step 3: Cross multiply
    6,420.94x = 13,801.22 × 13,801.22
  4. Step 4: Simplify right side
    6,420.94x = 190,473,638.99
  5. Step 5: Solve for x
    x = 190,473,638.99/6,420.94
  6. Step 6: Final answer
    x = 29,664.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.