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Finding the Third Proportional to 309,690.84 and 682,242.75

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Solution

The third proportional to 309,690.84 and 682,242.75 is: 1,502,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,690.84 : 682,242.75 = 682,242.75 : x
  2. Step 2: Convert to fraction form
    309,690.84/682,242.75 = 682,242.75/x
  3. Step 3: Cross multiply
    309,690.84x = 682,242.75 × 682,242.75
  4. Step 4: Simplify right side
    309,690.84x = 465,455,169,927.56
  5. Step 5: Solve for x
    x = 465,455,169,927.56/309,690.84
  6. Step 6: Final answer
    x = 1,502,967.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.