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Finding the Third Proportional to 769,209 and 1,686,029.25

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Solution

The third proportional to 769,209 and 1,686,029.25 is: 3,695,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,209 : 1,686,029.25 = 1,686,029.25 : x
  2. Step 2: Convert to fraction form
    769,209/1,686,029.25 = 1,686,029.25/x
  3. Step 3: Cross multiply
    769,209x = 1,686,029.25 × 1,686,029.25
  4. Step 4: Simplify right side
    769,209x = 2,842,694,631,855.56
  5. Step 5: Solve for x
    x = 2,842,694,631,855.56/769,209
  6. Step 6: Final answer
    x = 3,695,607.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.