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Finding the Third Proportional to 7,090.91 and 11,777.11

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Solution

The third proportional to 7,090.91 and 11,777.11 is: 19,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.91 : 11,777.11 = 11,777.11 : x
  2. Step 2: Convert to fraction form
    7,090.91/11,777.11 = 11,777.11/x
  3. Step 3: Cross multiply
    7,090.91x = 11,777.11 × 11,777.11
  4. Step 4: Simplify right side
    7,090.91x = 138,700,305.23
  5. Step 5: Solve for x
    x = 138,700,305.23/7,090.91
  6. Step 6: Final answer
    x = 19,560.31

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.