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Finding the Third Proportional to 64.30 and 137.14

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Solution

The third proportional to 64.30 and 137.14 is: 292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.30 : 137.14 = 137.14 : x
  2. Step 2: Convert to fraction form
    64.30/137.14 = 137.14/x
  3. Step 3: Cross multiply
    64.30x = 137.14 × 137.14
  4. Step 4: Simplify right side
    64.30x = 18,808.62
  5. Step 5: Solve for x
    x = 18,808.62/64.30
  6. Step 6: Final answer
    x = 292.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.