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Finding the Third Proportional to 511,949 and 689,185

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Solution

The third proportional to 511,949 and 689,185 is: 927,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,949 : 689,185 = 689,185 : x
  2. Step 2: Convert to fraction form
    511,949/689,185 = 689,185/x
  3. Step 3: Cross multiply
    511,949x = 689,185 × 689,185
  4. Step 4: Simplify right side
    511,949x = 474,975,964,225
  5. Step 5: Solve for x
    x = 474,975,964,225/511,949
  6. Step 6: Final answer
    x = 927,779.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.