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Finding the Third Proportional to 145.76 and 311.70

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Solution

The third proportional to 145.76 and 311.70 is: 666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 311.70 = 311.70 : x
  2. Step 2: Convert to fraction form
    145.76/311.70 = 311.70/x
  3. Step 3: Cross multiply
    145.76x = 311.70 × 311.70
  4. Step 4: Simplify right side
    145.76x = 97,153.97
  5. Step 5: Solve for x
    x = 97,153.97/145.76
  6. Step 6: Final answer
    x = 666.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.