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Finding the Third Proportional to 434,596.50 and 639,328.50

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Solution

The third proportional to 434,596.50 and 639,328.50 is: 940,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,596.50 : 639,328.50 = 639,328.50 : x
  2. Step 2: Convert to fraction form
    434,596.50/639,328.50 = 639,328.50/x
  3. Step 3: Cross multiply
    434,596.50x = 639,328.50 × 639,328.50
  4. Step 4: Simplify right side
    434,596.50x = 408,740,930,912.25
  5. Step 5: Solve for x
    x = 408,740,930,912.25/434,596.50
  6. Step 6: Final answer
    x = 940,506.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.