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Finding the Third Proportional to 398,941.50 and 874,184.25

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Solution

The third proportional to 398,941.50 and 874,184.25 is: 1,915,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,941.50 : 874,184.25 = 874,184.25 : x
  2. Step 2: Convert to fraction form
    398,941.50/874,184.25 = 874,184.25/x
  3. Step 3: Cross multiply
    398,941.50x = 874,184.25 × 874,184.25
  4. Step 4: Simplify right side
    398,941.50x = 764,198,102,948.06
  5. Step 5: Solve for x
    x = 764,198,102,948.06/398,941.50
  6. Step 6: Final answer
    x = 1,915,564.32

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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.