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Finding the Third Proportional to 395,828 and 805,480

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Solution

The third proportional to 395,828 and 805,480 is: 1,639,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,828 : 805,480 = 805,480 : x
  2. Step 2: Convert to fraction form
    395,828/805,480 = 805,480/x
  3. Step 3: Cross multiply
    395,828x = 805,480 × 805,480
  4. Step 4: Simplify right side
    395,828x = 648,798,030,400
  5. Step 5: Solve for x
    x = 648,798,030,400/395,828
  6. Step 6: Final answer
    x = 1,639,090.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.