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Finding the Third Proportional to 538,923 and 845,412

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Solution

The third proportional to 538,923 and 845,412 is: 1,326,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,923 : 845,412 = 845,412 : x
  2. Step 2: Convert to fraction form
    538,923/845,412 = 845,412/x
  3. Step 3: Cross multiply
    538,923x = 845,412 × 845,412
  4. Step 4: Simplify right side
    538,923x = 714,721,449,744
  5. Step 5: Solve for x
    x = 714,721,449,744/538,923
  6. Step 6: Final answer
    x = 1,326,203.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.