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Finding the Third Proportional to 385,680 and 790,152

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Solution

The third proportional to 385,680 and 790,152 is: 1,618,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,680 : 790,152 = 790,152 : x
  2. Step 2: Convert to fraction form
    385,680/790,152 = 790,152/x
  3. Step 3: Cross multiply
    385,680x = 790,152 × 790,152
  4. Step 4: Simplify right side
    385,680x = 624,340,183,104
  5. Step 5: Solve for x
    x = 624,340,183,104/385,680
  6. Step 6: Final answer
    x = 1,618,803.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.