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Finding the Third Proportional to 678.94 and 1,762.88

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Solution

The third proportional to 678.94 and 1,762.88 is: 4,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.94 : 1,762.88 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    678.94/1,762.88 = 1,762.88/x
  3. Step 3: Cross multiply
    678.94x = 1,762.88 × 1,762.88
  4. Step 4: Simplify right side
    678.94x = 3,107,728.27
  5. Step 5: Solve for x
    x = 3,107,728.27/678.94
  6. Step 6: Final answer
    x = 4,577.34

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.