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Finding the Third Proportional to 425.72 and 644.99

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Solution

The third proportional to 425.72 and 644.99 is: 977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.72 : 644.99 = 644.99 : x
  2. Step 2: Convert to fraction form
    425.72/644.99 = 644.99/x
  3. Step 3: Cross multiply
    425.72x = 644.99 × 644.99
  4. Step 4: Simplify right side
    425.72x = 416,017.44
  5. Step 5: Solve for x
    x = 416,017.44/425.72
  6. Step 6: Final answer
    x = 977.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.