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Finding the Third Proportional to 145.75 and 318.88

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Solution

The third proportional to 145.75 and 318.88 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.75 : 318.88 = 318.88 : x
  2. Step 2: Convert to fraction form
    145.75/318.88 = 318.88/x
  3. Step 3: Cross multiply
    145.75x = 318.88 × 318.88
  4. Step 4: Simplify right side
    145.75x = 101,681.27
  5. Step 5: Solve for x
    x = 101,681.27/145.75
  6. Step 6: Final answer
    x = 697.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.