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Finding the Third Proportional to 385,722 and 790,236

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Solution

The third proportional to 385,722 and 790,236 is: 1,618,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,722 : 790,236 = 790,236 : x
  2. Step 2: Convert to fraction form
    385,722/790,236 = 790,236/x
  3. Step 3: Cross multiply
    385,722x = 790,236 × 790,236
  4. Step 4: Simplify right side
    385,722x = 624,472,935,696
  5. Step 5: Solve for x
    x = 624,472,935,696/385,722
  6. Step 6: Final answer
    x = 1,618,971.53

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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.