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Finding the Third Proportional to 389,539 and 608,912

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Solution

The third proportional to 389,539 and 608,912 is: 951,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,539 : 608,912 = 608,912 : x
  2. Step 2: Convert to fraction form
    389,539/608,912 = 608,912/x
  3. Step 3: Cross multiply
    389,539x = 608,912 × 608,912
  4. Step 4: Simplify right side
    389,539x = 370,773,823,744
  5. Step 5: Solve for x
    x = 370,773,823,744/389,539
  6. Step 6: Final answer
    x = 951,827.22

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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.