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Finding the Third Proportional to 6,837.19 and 9,777.09

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Solution

The third proportional to 6,837.19 and 9,777.09 is: 13,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.19 : 9,777.09 = 9,777.09 : x
  2. Step 2: Convert to fraction form
    6,837.19/9,777.09 = 9,777.09/x
  3. Step 3: Cross multiply
    6,837.19x = 9,777.09 × 9,777.09
  4. Step 4: Simplify right side
    6,837.19x = 95,591,562.20
  5. Step 5: Solve for x
    x = 95,591,562.20/6,837.19
  6. Step 6: Final answer
    x = 13,981.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.