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Finding the Third Proportional to 891,072 and 1,378,824

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Solution

The third proportional to 891,072 and 1,378,824 is: 2,133,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,072 : 1,378,824 = 1,378,824 : x
  2. Step 2: Convert to fraction form
    891,072/1,378,824 = 1,378,824/x
  3. Step 3: Cross multiply
    891,072x = 1,378,824 × 1,378,824
  4. Step 4: Simplify right side
    891,072x = 1,901,155,622,976
  5. Step 5: Solve for x
    x = 1,901,155,622,976/891,072
  6. Step 6: Final answer
    x = 2,133,560.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.