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Finding the Third Proportional to 8,649.28 and 11,777.91

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Solution

The third proportional to 8,649.28 and 11,777.91 is: 16,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.28 : 11,777.91 = 11,777.91 : x
  2. Step 2: Convert to fraction form
    8,649.28/11,777.91 = 11,777.91/x
  3. Step 3: Cross multiply
    8,649.28x = 11,777.91 × 11,777.91
  4. Step 4: Simplify right side
    8,649.28x = 138,719,075.63
  5. Step 5: Solve for x
    x = 138,719,075.63/8,649.28
  6. Step 6: Final answer
    x = 16,038.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.