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Finding the Third Proportional to 648,915 and 1,393,813.50

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Solution

The third proportional to 648,915 and 1,393,813.50 is: 2,993,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,915 : 1,393,813.50 = 1,393,813.50 : x
  2. Step 2: Convert to fraction form
    648,915/1,393,813.50 = 1,393,813.50/x
  3. Step 3: Cross multiply
    648,915x = 1,393,813.50 × 1,393,813.50
  4. Step 4: Simplify right side
    648,915x = 1,942,716,072,782.25
  5. Step 5: Solve for x
    x = 1,942,716,072,782.25/648,915
  6. Step 6: Final answer
    x = 2,993,791.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.