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Finding the Third Proportional to 395,830 and 805,484

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Solution

The third proportional to 395,830 and 805,484 is: 1,639,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,830 : 805,484 = 805,484 : x
  2. Step 2: Convert to fraction form
    395,830/805,484 = 805,484/x
  3. Step 3: Cross multiply
    395,830x = 805,484 × 805,484
  4. Step 4: Simplify right side
    395,830x = 648,804,474,256
  5. Step 5: Solve for x
    x = 648,804,474,256/395,830
  6. Step 6: Final answer
    x = 1,639,098.79

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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.