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Finding the Third Proportional to 389,544 and 608,918

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Solution

The third proportional to 389,544 and 608,918 is: 951,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,544 : 608,918 = 608,918 : x
  2. Step 2: Convert to fraction form
    389,544/608,918 = 608,918/x
  3. Step 3: Cross multiply
    389,544x = 608,918 × 608,918
  4. Step 4: Simplify right side
    389,544x = 370,781,130,724
  5. Step 5: Solve for x
    x = 370,781,130,724/389,544
  6. Step 6: Final answer
    x = 951,833.76

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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.