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Finding the Third Proportional to 515,418.19 and 788,436.28

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Solution

The third proportional to 515,418.19 and 788,436.28 is: 1,206,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,418.19 : 788,436.28 = 788,436.28 : x
  2. Step 2: Convert to fraction form
    515,418.19/788,436.28 = 788,436.28/x
  3. Step 3: Cross multiply
    515,418.19x = 788,436.28 × 788,436.28
  4. Step 4: Simplify right side
    515,418.19x = 621,631,769,591.33
  5. Step 5: Solve for x
    x = 621,631,769,591.33/515,418.19
  6. Step 6: Final answer
    x = 1,206,072.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.