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Finding the Third Proportional to 393,765 and 843,465

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Solution

The third proportional to 393,765 and 843,465 is: 1,806,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,765 : 843,465 = 843,465 : x
  2. Step 2: Convert to fraction form
    393,765/843,465 = 843,465/x
  3. Step 3: Cross multiply
    393,765x = 843,465 × 843,465
  4. Step 4: Simplify right side
    393,765x = 711,433,206,225
  5. Step 5: Solve for x
    x = 711,433,206,225/393,765
  6. Step 6: Final answer
    x = 1,806,745.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.