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Finding the Third Proportional to 393,029 and 842,137

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Solution

The third proportional to 393,029 and 842,137 is: 1,804,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,029 : 842,137 = 842,137 : x
  2. Step 2: Convert to fraction form
    393,029/842,137 = 842,137/x
  3. Step 3: Cross multiply
    393,029x = 842,137 × 842,137
  4. Step 4: Simplify right side
    393,029x = 709,194,726,769
  5. Step 5: Solve for x
    x = 709,194,726,769/393,029
  6. Step 6: Final answer
    x = 1,804,433.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.