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Finding the Third Proportional to 394,087 and 609,584

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Solution

The third proportional to 394,087 and 609,584 is: 942,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,087 : 609,584 = 609,584 : x
  2. Step 2: Convert to fraction form
    394,087/609,584 = 609,584/x
  3. Step 3: Cross multiply
    394,087x = 609,584 × 609,584
  4. Step 4: Simplify right side
    394,087x = 371,592,653,056
  5. Step 5: Solve for x
    x = 371,592,653,056/394,087
  6. Step 6: Final answer
    x = 942,920.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.