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Finding the Third Proportional to 427,914.75 and 903,580.50

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Solution

The third proportional to 427,914.75 and 903,580.50 is: 1,907,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,914.75 : 903,580.50 = 903,580.50 : x
  2. Step 2: Convert to fraction form
    427,914.75/903,580.50 = 903,580.50/x
  3. Step 3: Cross multiply
    427,914.75x = 903,580.50 × 903,580.50
  4. Step 4: Simplify right side
    427,914.75x = 816,457,719,980.25
  5. Step 5: Solve for x
    x = 816,457,719,980.25/427,914.75
  6. Step 6: Final answer
    x = 1,907,991.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.