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Finding the Third Proportional to 395,843 and 830,563

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Solution

The third proportional to 395,843 and 830,563 is: 1,742,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,843 : 830,563 = 830,563 : x
  2. Step 2: Convert to fraction form
    395,843/830,563 = 830,563/x
  3. Step 3: Cross multiply
    395,843x = 830,563 × 830,563
  4. Step 4: Simplify right side
    395,843x = 689,834,896,969
  5. Step 5: Solve for x
    x = 689,834,896,969/395,843
  6. Step 6: Final answer
    x = 1,742,698.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.