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Finding the Third Proportional to 323,337.50 and 489,477.75

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Solution

The third proportional to 323,337.50 and 489,477.75 is: 740,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,337.50 : 489,477.75 = 489,477.75 : x
  2. Step 2: Convert to fraction form
    323,337.50/489,477.75 = 489,477.75/x
  3. Step 3: Cross multiply
    323,337.50x = 489,477.75 × 489,477.75
  4. Step 4: Simplify right side
    323,337.50x = 239,588,467,745.06
  5. Step 5: Solve for x
    x = 239,588,467,745.06/323,337.50
  6. Step 6: Final answer
    x = 740,985.71

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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.