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Finding the Third Proportional to 395,726 and 805,426

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Solution

The third proportional to 395,726 and 805,426 is: 1,639,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,726 : 805,426 = 805,426 : x
  2. Step 2: Convert to fraction form
    395,726/805,426 = 805,426/x
  3. Step 3: Cross multiply
    395,726x = 805,426 × 805,426
  4. Step 4: Simplify right side
    395,726x = 648,711,041,476
  5. Step 5: Solve for x
    x = 648,711,041,476/395,726
  6. Step 6: Final answer
    x = 1,639,293.45

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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.