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Finding the Third Proportional to 10,193.63 and 22,574.25

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Solution

The third proportional to 10,193.63 and 22,574.25 is: 49,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.63 : 22,574.25 = 22,574.25 : x
  2. Step 2: Convert to fraction form
    10,193.63/22,574.25 = 22,574.25/x
  3. Step 3: Cross multiply
    10,193.63x = 22,574.25 × 22,574.25
  4. Step 4: Simplify right side
    10,193.63x = 509,596,763.06
  5. Step 5: Solve for x
    x = 509,596,763.06/10,193.63
  6. Step 6: Final answer
    x = 49,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.