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Finding the Third Proportional to 6,500.67 and 10,085.34

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Solution

The third proportional to 6,500.67 and 10,085.34 is: 15,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.67 : 10,085.34 = 10,085.34 : x
  2. Step 2: Convert to fraction form
    6,500.67/10,085.34 = 10,085.34/x
  3. Step 3: Cross multiply
    6,500.67x = 10,085.34 × 10,085.34
  4. Step 4: Simplify right side
    6,500.67x = 101,714,158.56
  5. Step 5: Solve for x
    x = 101,714,158.56/6,500.67
  6. Step 6: Final answer
    x = 15,646.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.