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Finding the Third Proportional to 421,735.50 and 909,902.25

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Solution

The third proportional to 421,735.50 and 909,902.25 is: 1,963,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,735.50 : 909,902.25 = 909,902.25 : x
  2. Step 2: Convert to fraction form
    421,735.50/909,902.25 = 909,902.25/x
  3. Step 3: Cross multiply
    421,735.50x = 909,902.25 × 909,902.25
  4. Step 4: Simplify right side
    421,735.50x = 827,922,104,555.06
  5. Step 5: Solve for x
    x = 827,922,104,555.06/421,735.50
  6. Step 6: Final answer
    x = 1,963,131.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.