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Finding the Third Proportional to 10,362.78 and 22,202.94

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Solution

The third proportional to 10,362.78 and 22,202.94 is: 47,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.78 : 22,202.94 = 22,202.94 : x
  2. Step 2: Convert to fraction form
    10,362.78/22,202.94 = 22,202.94/x
  3. Step 3: Cross multiply
    10,362.78x = 22,202.94 × 22,202.94
  4. Step 4: Simplify right side
    10,362.78x = 492,970,433.63
  5. Step 5: Solve for x
    x = 492,970,433.63/10,362.78
  6. Step 6: Final answer
    x = 47,571.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.