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Finding the Third Proportional to 511,816 and 774,772

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Solution

The third proportional to 511,816 and 774,772 is: 1,172,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,816 : 774,772 = 774,772 : x
  2. Step 2: Convert to fraction form
    511,816/774,772 = 774,772/x
  3. Step 3: Cross multiply
    511,816x = 774,772 × 774,772
  4. Step 4: Simplify right side
    511,816x = 600,271,651,984
  5. Step 5: Solve for x
    x = 600,271,651,984/511,816
  6. Step 6: Final answer
    x = 1,172,827.06

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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.