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Finding the Third Proportional to 393,201 and 842,427

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Solution

The third proportional to 393,201 and 842,427 is: 1,804,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,201 : 842,427 = 842,427 : x
  2. Step 2: Convert to fraction form
    393,201/842,427 = 842,427/x
  3. Step 3: Cross multiply
    393,201x = 842,427 × 842,427
  4. Step 4: Simplify right side
    393,201x = 709,683,250,329
  5. Step 5: Solve for x
    x = 709,683,250,329/393,201
  6. Step 6: Final answer
    x = 1,804,886.69

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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.