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Finding the Third Proportional to 145.66 and 318.78

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Solution

The third proportional to 145.66 and 318.78 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.66 : 318.78 = 318.78 : x
  2. Step 2: Convert to fraction form
    145.66/318.78 = 318.78/x
  3. Step 3: Cross multiply
    145.66x = 318.78 × 318.78
  4. Step 4: Simplify right side
    145.66x = 101,621.49
  5. Step 5: Solve for x
    x = 101,621.49/145.66
  6. Step 6: Final answer
    x = 697.68

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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.