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Finding the Third Proportional to 394,089 and 609,587

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Solution

The third proportional to 394,089 and 609,587 is: 942,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,089 : 609,587 = 609,587 : x
  2. Step 2: Convert to fraction form
    394,089/609,587 = 609,587/x
  3. Step 3: Cross multiply
    394,089x = 609,587 × 609,587
  4. Step 4: Simplify right side
    394,089x = 371,596,310,569
  5. Step 5: Solve for x
    x = 371,596,310,569/394,089
  6. Step 6: Final answer
    x = 942,924.85

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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.