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Finding the Third Proportional to 285,728.34 and 610,821.84

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Solution

The third proportional to 285,728.34 and 610,821.84 is: 1,305,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,728.34 : 610,821.84 = 610,821.84 : x
  2. Step 2: Convert to fraction form
    285,728.34/610,821.84 = 610,821.84/x
  3. Step 3: Cross multiply
    285,728.34x = 610,821.84 × 610,821.84
  4. Step 4: Simplify right side
    285,728.34x = 373,103,324,802.15
  5. Step 5: Solve for x
    x = 373,103,324,802.15/285,728.34
  6. Step 6: Final answer
    x = 1,305,797.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.