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Finding the Third Proportional to 9,212.63 and 19,879.88

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Solution

The third proportional to 9,212.63 and 19,879.88 is: 42,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.63 : 19,879.88 = 19,879.88 : x
  2. Step 2: Convert to fraction form
    9,212.63/19,879.88 = 19,879.88/x
  3. Step 3: Cross multiply
    9,212.63x = 19,879.88 × 19,879.88
  4. Step 4: Simplify right side
    9,212.63x = 395,209,430.02
  5. Step 5: Solve for x
    x = 395,209,430.02/9,212.63
  6. Step 6: Final answer
    x = 42,898.68

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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.