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Finding the Third Proportional to 392,370 and 589,755

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Solution

The third proportional to 392,370 and 589,755 is: 886,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,370 : 589,755 = 589,755 : x
  2. Step 2: Convert to fraction form
    392,370/589,755 = 589,755/x
  3. Step 3: Cross multiply
    392,370x = 589,755 × 589,755
  4. Step 4: Simplify right side
    392,370x = 347,810,960,025
  5. Step 5: Solve for x
    x = 347,810,960,025/392,370
  6. Step 6: Final answer
    x = 886,436.17

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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.