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Finding the Third Proportional to 678.09 and 1,134.84

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Solution

The third proportional to 678.09 and 1,134.84 is: 1,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.09 : 1,134.84 = 1,134.84 : x
  2. Step 2: Convert to fraction form
    678.09/1,134.84 = 1,134.84/x
  3. Step 3: Cross multiply
    678.09x = 1,134.84 × 1,134.84
  4. Step 4: Simplify right side
    678.09x = 1,287,870.34
  5. Step 5: Solve for x
    x = 1,287,870.34/678.09
  6. Step 6: Final answer
    x = 1,899.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.