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Finding the Third Proportional to 418,601.25 and 917,007.75

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Solution

The third proportional to 418,601.25 and 917,007.75 is: 2,008,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,601.25 : 917,007.75 = 917,007.75 : x
  2. Step 2: Convert to fraction form
    418,601.25/917,007.75 = 917,007.75/x
  3. Step 3: Cross multiply
    418,601.25x = 917,007.75 × 917,007.75
  4. Step 4: Simplify right side
    418,601.25x = 840,903,213,560.06
  5. Step 5: Solve for x
    x = 840,903,213,560.06/418,601.25
  6. Step 6: Final answer
    x = 2,008,840.67

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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.