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Finding the Third Proportional to 7,782.19 and 11,901.38

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Solution

The third proportional to 7,782.19 and 11,901.38 is: 18,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.19 : 11,901.38 = 11,901.38 : x
  2. Step 2: Convert to fraction form
    7,782.19/11,901.38 = 11,901.38/x
  3. Step 3: Cross multiply
    7,782.19x = 11,901.38 × 11,901.38
  4. Step 4: Simplify right side
    7,782.19x = 141,642,726.89
  5. Step 5: Solve for x
    x = 141,642,726.89/7,782.19
  6. Step 6: Final answer
    x = 18,200.89

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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.