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Finding the Third Proportional to 393,388 and 819,985

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Solution

The third proportional to 393,388 and 819,985 is: 1,709,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,388 : 819,985 = 819,985 : x
  2. Step 2: Convert to fraction form
    393,388/819,985 = 819,985/x
  3. Step 3: Cross multiply
    393,388x = 819,985 × 819,985
  4. Step 4: Simplify right side
    393,388x = 672,375,400,225
  5. Step 5: Solve for x
    x = 672,375,400,225/393,388
  6. Step 6: Final answer
    x = 1,709,191.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.