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Finding the Third Proportional to 145.63 and 213.38

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Solution

The third proportional to 145.63 and 213.38 is: 312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.63 : 213.38 = 213.38 : x
  2. Step 2: Convert to fraction form
    145.63/213.38 = 213.38/x
  3. Step 3: Cross multiply
    145.63x = 213.38 × 213.38
  4. Step 4: Simplify right side
    145.63x = 45,528.89
  5. Step 5: Solve for x
    x = 45,528.89/145.63
  6. Step 6: Final answer
    x = 312.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.