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Finding the Third Proportional to 389,630.25 and 585,579.38

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Solution

The third proportional to 389,630.25 and 585,579.38 is: 880,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,630.25 : 585,579.38 = 585,579.38 : x
  2. Step 2: Convert to fraction form
    389,630.25/585,579.38 = 585,579.38/x
  3. Step 3: Cross multiply
    389,630.25x = 585,579.38 × 585,579.38
  4. Step 4: Simplify right side
    389,630.25x = 342,903,204,425.39
  5. Step 5: Solve for x
    x = 342,903,204,425.39/389,630.25
  6. Step 6: Final answer
    x = 880,073.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.