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Finding the Third Proportional to 389,493 and 845,082

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Solution

The third proportional to 389,493 and 845,082 is: 1,833,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,493 : 845,082 = 845,082 : x
  2. Step 2: Convert to fraction form
    389,493/845,082 = 845,082/x
  3. Step 3: Cross multiply
    389,493x = 845,082 × 845,082
  4. Step 4: Simplify right side
    389,493x = 714,163,586,724
  5. Step 5: Solve for x
    x = 714,163,586,724/389,493
  6. Step 6: Final answer
    x = 1,833,572.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.