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Finding the Third Proportional to 421,436.25 and 917,709.75

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Solution

The third proportional to 421,436.25 and 917,709.75 is: 1,998,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,436.25 : 917,709.75 = 917,709.75 : x
  2. Step 2: Convert to fraction form
    421,436.25/917,709.75 = 917,709.75/x
  3. Step 3: Cross multiply
    421,436.25x = 917,709.75 × 917,709.75
  4. Step 4: Simplify right side
    421,436.25x = 842,191,185,245.06
  5. Step 5: Solve for x
    x = 842,191,185,245.06/421,436.25
  6. Step 6: Final answer
    x = 1,998,383.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.