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Finding the Third Proportional to 6,403.50 and 9,736.88

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Solution

The third proportional to 6,403.50 and 9,736.88 is: 14,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.50 : 9,736.88 = 9,736.88 : x
  2. Step 2: Convert to fraction form
    6,403.50/9,736.88 = 9,736.88/x
  3. Step 3: Cross multiply
    6,403.50x = 9,736.88 × 9,736.88
  4. Step 4: Simplify right side
    6,403.50x = 94,806,734.77
  5. Step 5: Solve for x
    x = 94,806,734.77/6,403.50
  6. Step 6: Final answer
    x = 14,805.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.