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Finding the Third Proportional to 323,567 and 489,875

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Solution

The third proportional to 323,567 and 489,875 is: 741,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,567 : 489,875 = 489,875 : x
  2. Step 2: Convert to fraction form
    323,567/489,875 = 489,875/x
  3. Step 3: Cross multiply
    323,567x = 489,875 × 489,875
  4. Step 4: Simplify right side
    323,567x = 239,977,515,625
  5. Step 5: Solve for x
    x = 239,977,515,625/323,567
  6. Step 6: Final answer
    x = 741,662.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.