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Finding the Third Proportional to 395,826 and 805,476

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Solution

The third proportional to 395,826 and 805,476 is: 1,639,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,826 : 805,476 = 805,476 : x
  2. Step 2: Convert to fraction form
    395,826/805,476 = 805,476/x
  3. Step 3: Cross multiply
    395,826x = 805,476 × 805,476
  4. Step 4: Simplify right side
    395,826x = 648,791,586,576
  5. Step 5: Solve for x
    x = 648,791,586,576/395,826
  6. Step 6: Final answer
    x = 1,639,082.80

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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.