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Finding the Third Proportional to 389,546 and 608,921

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Solution

The third proportional to 389,546 and 608,921 is: 951,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,546 : 608,921 = 608,921 : x
  2. Step 2: Convert to fraction form
    389,546/608,921 = 608,921/x
  3. Step 3: Cross multiply
    389,546x = 608,921 × 608,921
  4. Step 4: Simplify right side
    389,546x = 370,784,784,241
  5. Step 5: Solve for x
    x = 370,784,784,241/389,546
  6. Step 6: Final answer
    x = 951,838.25

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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.