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Finding the Third Proportional to 511,185 and 801,963

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Solution

The third proportional to 511,185 and 801,963 is: 1,258,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,185 : 801,963 = 801,963 : x
  2. Step 2: Convert to fraction form
    511,185/801,963 = 801,963/x
  3. Step 3: Cross multiply
    511,185x = 801,963 × 801,963
  4. Step 4: Simplify right side
    511,185x = 643,144,653,369
  5. Step 5: Solve for x
    x = 643,144,653,369/511,185
  6. Step 6: Final answer
    x = 1,258,144.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.