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Finding the Third Proportional to 389,538 and 608,911

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Solution

The third proportional to 389,538 and 608,911 is: 951,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,538 : 608,911 = 608,911 : x
  2. Step 2: Convert to fraction form
    389,538/608,911 = 608,911/x
  3. Step 3: Cross multiply
    389,538x = 608,911 × 608,911
  4. Step 4: Simplify right side
    389,538x = 370,772,605,921
  5. Step 5: Solve for x
    x = 370,772,605,921/389,538
  6. Step 6: Final answer
    x = 951,826.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.