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Finding the Third Proportional to 145.56 and 316.81

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Solution

The third proportional to 145.56 and 316.81 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 316.81 = 316.81 : x
  2. Step 2: Convert to fraction form
    145.56/316.81 = 316.81/x
  3. Step 3: Cross multiply
    145.56x = 316.81 × 316.81
  4. Step 4: Simplify right side
    145.56x = 100,370.16
  5. Step 5: Solve for x
    x = 100,370.16/145.56
  6. Step 6: Final answer
    x = 689.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.