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Finding the Third Proportional to 323,336.81 and 489,477.94

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Solution

The third proportional to 323,336.81 and 489,477.94 is: 740,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,336.81 : 489,477.94 = 489,477.94 : x
  2. Step 2: Convert to fraction form
    323,336.81/489,477.94 = 489,477.94/x
  3. Step 3: Cross multiply
    323,336.81x = 489,477.94 × 489,477.94
  4. Step 4: Simplify right side
    323,336.81x = 239,588,651,299.25
  5. Step 5: Solve for x
    x = 239,588,651,299.25/323,336.81
  6. Step 6: Final answer
    x = 740,987.86

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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.