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Finding the Third Proportional to 6,478.31 and 13,564.13

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Solution

The third proportional to 6,478.31 and 13,564.13 is: 28,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.31 : 13,564.13 = 13,564.13 : x
  2. Step 2: Convert to fraction form
    6,478.31/13,564.13 = 13,564.13/x
  3. Step 3: Cross multiply
    6,478.31x = 13,564.13 × 13,564.13
  4. Step 4: Simplify right side
    6,478.31x = 183,985,487.02
  5. Step 5: Solve for x
    x = 183,985,487.02/6,478.31
  6. Step 6: Final answer
    x = 28,400.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.