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Finding the Third Proportional to 21,789 and 47,739.38

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Solution

The third proportional to 21,789 and 47,739.38 is: 104,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789 : 47,739.38 = 47,739.38 : x
  2. Step 2: Convert to fraction form
    21,789/47,739.38 = 47,739.38/x
  3. Step 3: Cross multiply
    21,789x = 47,739.38 × 47,739.38
  4. Step 4: Simplify right side
    21,789x = 2,279,047,925.39
  5. Step 5: Solve for x
    x = 2,279,047,925.39/21,789
  6. Step 6: Final answer
    x = 104,596.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.