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Finding the Third Proportional to 425.63 and 678.94

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Solution

The third proportional to 425.63 and 678.94 is: 1,083.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.63 : 678.94 = 678.94 : x
  2. Step 2: Convert to fraction form
    425.63/678.94 = 678.94/x
  3. Step 3: Cross multiply
    425.63x = 678.94 × 678.94
  4. Step 4: Simplify right side
    425.63x = 460,956.13
  5. Step 5: Solve for x
    x = 460,956.13/425.63
  6. Step 6: Final answer
    x = 1,083.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.