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Finding the Third Proportional to 511,488 and 765,696

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Solution

The third proportional to 511,488 and 765,696 is: 1,146,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,488 : 765,696 = 765,696 : x
  2. Step 2: Convert to fraction form
    511,488/765,696 = 765,696/x
  3. Step 3: Cross multiply
    511,488x = 765,696 × 765,696
  4. Step 4: Simplify right side
    511,488x = 586,290,364,416
  5. Step 5: Solve for x
    x = 586,290,364,416/511,488
  6. Step 6: Final answer
    x = 1,146,244.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.