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Finding the Third Proportional to 145.38 and 307.63

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Solution

The third proportional to 145.38 and 307.63 is: 650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 307.63 = 307.63 : x
  2. Step 2: Convert to fraction form
    145.38/307.63 = 307.63/x
  3. Step 3: Cross multiply
    145.38x = 307.63 × 307.63
  4. Step 4: Simplify right side
    145.38x = 94,633.14
  5. Step 5: Solve for x
    x = 94,633.14/145.38
  6. Step 6: Final answer
    x = 650.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.