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Finding the Third Proportional to 393,441 and 842,979

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Solution

The third proportional to 393,441 and 842,979 is: 1,806,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,441 : 842,979 = 842,979 : x
  2. Step 2: Convert to fraction form
    393,441/842,979 = 842,979/x
  3. Step 3: Cross multiply
    393,441x = 842,979 × 842,979
  4. Step 4: Simplify right side
    393,441x = 710,613,594,441
  5. Step 5: Solve for x
    x = 710,613,594,441/393,441
  6. Step 6: Final answer
    x = 1,806,150.34

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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.