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Finding the Third Proportional to 426,032 and 933,544

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Solution

The third proportional to 426,032 and 933,544 is: 2,045,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,032 : 933,544 = 933,544 : x
  2. Step 2: Convert to fraction form
    426,032/933,544 = 933,544/x
  3. Step 3: Cross multiply
    426,032x = 933,544 × 933,544
  4. Step 4: Simplify right side
    426,032x = 871,504,399,936
  5. Step 5: Solve for x
    x = 871,504,399,936/426,032
  6. Step 6: Final answer
    x = 2,045,631.31

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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.