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Finding the Third Proportional to 853,746 and 1,818,100

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Solution

The third proportional to 853,746 and 1,818,100 is: 3,871,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,746 : 1,818,100 = 1,818,100 : x
  2. Step 2: Convert to fraction form
    853,746/1,818,100 = 1,818,100/x
  3. Step 3: Cross multiply
    853,746x = 1,818,100 × 1,818,100
  4. Step 4: Simplify right side
    853,746x = 3,305,487,610,000
  5. Step 5: Solve for x
    x = 3,305,487,610,000/853,746
  6. Step 6: Final answer
    x = 3,871,745.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.