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Finding the Third Proportional to 134,185 and 212,213

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Solution

The third proportional to 134,185 and 212,213 is: 335,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,185 : 212,213 = 212,213 : x
  2. Step 2: Convert to fraction form
    134,185/212,213 = 212,213/x
  3. Step 3: Cross multiply
    134,185x = 212,213 × 212,213
  4. Step 4: Simplify right side
    134,185x = 45,034,357,369
  5. Step 5: Solve for x
    x = 45,034,357,369/134,185
  6. Step 6: Final answer
    x = 335,613.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.