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Finding the Third Proportional to 326,646 and 489,969

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Solution

The third proportional to 326,646 and 489,969 is: 734,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,646 : 489,969 = 489,969 : x
  2. Step 2: Convert to fraction form
    326,646/489,969 = 489,969/x
  3. Step 3: Cross multiply
    326,646x = 489,969 × 489,969
  4. Step 4: Simplify right side
    326,646x = 240,069,620,961
  5. Step 5: Solve for x
    x = 240,069,620,961/326,646
  6. Step 6: Final answer
    x = 734,953.50

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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.