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Finding the Third Proportional to 10,464.19 and 21,406.78

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Solution

The third proportional to 10,464.19 and 21,406.78 is: 43,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.19 : 21,406.78 = 21,406.78 : x
  2. Step 2: Convert to fraction form
    10,464.19/21,406.78 = 21,406.78/x
  3. Step 3: Cross multiply
    10,464.19x = 21,406.78 × 21,406.78
  4. Step 4: Simplify right side
    10,464.19x = 458,250,283.49
  5. Step 5: Solve for x
    x = 458,250,283.49/10,464.19
  6. Step 6: Final answer
    x = 43,792.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.