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Finding the Third Proportional to 385,728 and 790,248

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Solution

The third proportional to 385,728 and 790,248 is: 1,618,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,728 : 790,248 = 790,248 : x
  2. Step 2: Convert to fraction form
    385,728/790,248 = 790,248/x
  3. Step 3: Cross multiply
    385,728x = 790,248 × 790,248
  4. Step 4: Simplify right side
    385,728x = 624,491,901,504
  5. Step 5: Solve for x
    x = 624,491,901,504/385,728
  6. Step 6: Final answer
    x = 1,618,995.51

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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.