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Finding the Third Proportional to 323,554.50 and 489,857.63

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Solution

The third proportional to 323,554.50 and 489,857.63 is: 741,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,554.50 : 489,857.63 = 489,857.63 : x
  2. Step 2: Convert to fraction form
    323,554.50/489,857.63 = 489,857.63/x
  3. Step 3: Cross multiply
    323,554.50x = 489,857.63 × 489,857.63
  4. Step 4: Simplify right side
    323,554.50x = 239,960,492,770.64
  5. Step 5: Solve for x
    x = 239,960,492,770.64/323,554.50
  6. Step 6: Final answer
    x = 741,638.56

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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.