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Finding the Third Proportional to 395,724 and 805,420

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Solution

The third proportional to 395,724 and 805,420 is: 1,639,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,724 : 805,420 = 805,420 : x
  2. Step 2: Convert to fraction form
    395,724/805,420 = 805,420/x
  3. Step 3: Cross multiply
    395,724x = 805,420 × 805,420
  4. Step 4: Simplify right side
    395,724x = 648,701,376,400
  5. Step 5: Solve for x
    x = 648,701,376,400/395,724
  6. Step 6: Final answer
    x = 1,639,277.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.