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Finding the Third Proportional to 691,191 and 1,036,787

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Solution

The third proportional to 691,191 and 1,036,787 is: 1,555,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,191 : 1,036,787 = 1,036,787 : x
  2. Step 2: Convert to fraction form
    691,191/1,036,787 = 1,036,787/x
  3. Step 3: Cross multiply
    691,191x = 1,036,787 × 1,036,787
  4. Step 4: Simplify right side
    691,191x = 1,074,927,283,369
  5. Step 5: Solve for x
    x = 1,074,927,283,369/691,191
  6. Step 6: Final answer
    x = 1,555,181.25

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Why These Related Problems?

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