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Finding the Third Proportional to 7,664.63 and 11,719.69

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Solution

The third proportional to 7,664.63 and 11,719.69 is: 17,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.63 : 11,719.69 = 11,719.69 : x
  2. Step 2: Convert to fraction form
    7,664.63/11,719.69 = 11,719.69/x
  3. Step 3: Cross multiply
    7,664.63x = 11,719.69 × 11,719.69
  4. Step 4: Simplify right side
    7,664.63x = 137,351,075.10
  5. Step 5: Solve for x
    x = 137,351,075.10/7,664.63
  6. Step 6: Final answer
    x = 17,920.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.