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Finding the Third Proportional to 145.25 and 262.50

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Solution

The third proportional to 145.25 and 262.50 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.25 : 262.50 = 262.50 : x
  2. Step 2: Convert to fraction form
    145.25/262.50 = 262.50/x
  3. Step 3: Cross multiply
    145.25x = 262.50 × 262.50
  4. Step 4: Simplify right side
    145.25x = 68,906.25
  5. Step 5: Solve for x
    x = 68,906.25/145.25
  6. Step 6: Final answer
    x = 474.40

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.