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Finding the Third Proportional to 511,824 and 774,786

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Solution

The third proportional to 511,824 and 774,786 is: 1,172,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,824 : 774,786 = 774,786 : x
  2. Step 2: Convert to fraction form
    511,824/774,786 = 774,786/x
  3. Step 3: Cross multiply
    511,824x = 774,786 × 774,786
  4. Step 4: Simplify right side
    511,824x = 600,293,345,796
  5. Step 5: Solve for x
    x = 600,293,345,796/511,824
  6. Step 6: Final answer
    x = 1,172,851.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.