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Finding the Third Proportional to 425.53 and 1,011.94

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Solution

The third proportional to 425.53 and 1,011.94 is: 2,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.53 : 1,011.94 = 1,011.94 : x
  2. Step 2: Convert to fraction form
    425.53/1,011.94 = 1,011.94/x
  3. Step 3: Cross multiply
    425.53x = 1,011.94 × 1,011.94
  4. Step 4: Simplify right side
    425.53x = 1,024,017.50
  5. Step 5: Solve for x
    x = 1,024,017.50/425.53
  6. Step 6: Final answer
    x = 2,406.44

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.