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Finding the Third Proportional to 425.88 and 654

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Solution

The third proportional to 425.88 and 654 is: 1,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.88 : 654 = 654 : x
  2. Step 2: Convert to fraction form
    425.88/654 = 654/x
  3. Step 3: Cross multiply
    425.88x = 654 × 654
  4. Step 4: Simplify right side
    425.88x = 427,716
  5. Step 5: Solve for x
    x = 427,716/425.88
  6. Step 6: Final answer
    x = 1,004.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.