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Finding the Third Proportional to 350,840 and 543,028

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Solution

The third proportional to 350,840 and 543,028 is: 840,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,840 : 543,028 = 543,028 : x
  2. Step 2: Convert to fraction form
    350,840/543,028 = 543,028/x
  3. Step 3: Cross multiply
    350,840x = 543,028 × 543,028
  4. Step 4: Simplify right side
    350,840x = 294,879,408,784
  5. Step 5: Solve for x
    x = 294,879,408,784/350,840
  6. Step 6: Final answer
    x = 840,495.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.