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Finding the Third Proportional to 385,726 and 790,244

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Solution

The third proportional to 385,726 and 790,244 is: 1,618,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,726 : 790,244 = 790,244 : x
  2. Step 2: Convert to fraction form
    385,726/790,244 = 790,244/x
  3. Step 3: Cross multiply
    385,726x = 790,244 × 790,244
  4. Step 4: Simplify right side
    385,726x = 624,485,579,536
  5. Step 5: Solve for x
    x = 624,485,579,536/385,726
  6. Step 6: Final answer
    x = 1,618,987.52

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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.