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Finding the Third Proportional to 6,500.25 and 10,344.38

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Solution

The third proportional to 6,500.25 and 10,344.38 is: 16,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 10,344.38 = 10,344.38 : x
  2. Step 2: Convert to fraction form
    6,500.25/10,344.38 = 10,344.38/x
  3. Step 3: Cross multiply
    6,500.25x = 10,344.38 × 10,344.38
  4. Step 4: Simplify right side
    6,500.25x = 107,006,094.14
  5. Step 5: Solve for x
    x = 107,006,094.14/6,500.25
  6. Step 6: Final answer
    x = 16,461.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.