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Finding the Third Proportional to 389,268 and 838,557

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Solution

The third proportional to 389,268 and 838,557 is: 1,806,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,268 : 838,557 = 838,557 : x
  2. Step 2: Convert to fraction form
    389,268/838,557 = 838,557/x
  3. Step 3: Cross multiply
    389,268x = 838,557 × 838,557
  4. Step 4: Simplify right side
    389,268x = 703,177,842,249
  5. Step 5: Solve for x
    x = 703,177,842,249/389,268
  6. Step 6: Final answer
    x = 1,806,410.60

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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.