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Finding the Third Proportional to 426,800 and 933,952

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Solution

The third proportional to 426,800 and 933,952 is: 2,043,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,800 : 933,952 = 933,952 : x
  2. Step 2: Convert to fraction form
    426,800/933,952 = 933,952/x
  3. Step 3: Cross multiply
    426,800x = 933,952 × 933,952
  4. Step 4: Simplify right side
    426,800x = 872,266,338,304
  5. Step 5: Solve for x
    x = 872,266,338,304/426,800
  6. Step 6: Final answer
    x = 2,043,735.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.