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Finding the Third Proportional to 4,427.75 and 9,705.25

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Solution

The third proportional to 4,427.75 and 9,705.25 is: 21,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.75 : 9,705.25 = 9,705.25 : x
  2. Step 2: Convert to fraction form
    4,427.75/9,705.25 = 9,705.25/x
  3. Step 3: Cross multiply
    4,427.75x = 9,705.25 × 9,705.25
  4. Step 4: Simplify right side
    4,427.75x = 94,191,877.56
  5. Step 5: Solve for x
    x = 94,191,877.56/4,427.75
  6. Step 6: Final answer
    x = 21,273.08

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Why These Related Problems?

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