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Finding the Third Proportional to 281,728.50 and 664,388.25

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Solution

The third proportional to 281,728.50 and 664,388.25 is: 1,566,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,728.50 : 664,388.25 = 664,388.25 : x
  2. Step 2: Convert to fraction form
    281,728.50/664,388.25 = 664,388.25/x
  3. Step 3: Cross multiply
    281,728.50x = 664,388.25 × 664,388.25
  4. Step 4: Simplify right side
    281,728.50x = 441,411,746,738.06
  5. Step 5: Solve for x
    x = 441,411,746,738.06/281,728.50
  6. Step 6: Final answer
    x = 1,566,798.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.