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Finding the Third Proportional to 11,715 and 21,769.50

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Solution

The third proportional to 11,715 and 21,769.50 is: 40,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715 : 21,769.50 = 21,769.50 : x
  2. Step 2: Convert to fraction form
    11,715/21,769.50 = 21,769.50/x
  3. Step 3: Cross multiply
    11,715x = 21,769.50 × 21,769.50
  4. Step 4: Simplify right side
    11,715x = 473,911,130.25
  5. Step 5: Solve for x
    x = 473,911,130.25/11,715
  6. Step 6: Final answer
    x = 40,453.36

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.