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Finding the Third Proportional to 7,187.63 and 10,911.09

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Solution

The third proportional to 7,187.63 and 10,911.09 is: 16,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.63 : 10,911.09 = 10,911.09 : x
  2. Step 2: Convert to fraction form
    7,187.63/10,911.09 = 10,911.09/x
  3. Step 3: Cross multiply
    7,187.63x = 10,911.09 × 10,911.09
  4. Step 4: Simplify right side
    7,187.63x = 119,051,966.82
  5. Step 5: Solve for x
    x = 119,051,966.82/7,187.63
  6. Step 6: Final answer
    x = 16,563.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.