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Finding the Third Proportional to 4,232.88 and 9,135.49

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Solution

The third proportional to 4,232.88 and 9,135.49 is: 19,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.88 : 9,135.49 = 9,135.49 : x
  2. Step 2: Convert to fraction form
    4,232.88/9,135.49 = 9,135.49/x
  3. Step 3: Cross multiply
    4,232.88x = 9,135.49 × 9,135.49
  4. Step 4: Simplify right side
    4,232.88x = 83,457,217.51
  5. Step 5: Solve for x
    x = 83,457,217.51/4,232.88
  6. Step 6: Final answer
    x = 19,716.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.