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Finding the Third Proportional to 538,430 and 844,755

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Solution

The third proportional to 538,430 and 844,755 is: 1,325,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,430 : 844,755 = 844,755 : x
  2. Step 2: Convert to fraction form
    538,430/844,755 = 844,755/x
  3. Step 3: Cross multiply
    538,430x = 844,755 × 844,755
  4. Step 4: Simplify right side
    538,430x = 713,611,010,025
  5. Step 5: Solve for x
    x = 713,611,010,025/538,430
  6. Step 6: Final answer
    x = 1,325,355.22

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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.