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Finding the Third Proportional to 196,258 and 311,276

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Solution

The third proportional to 196,258 and 311,276 is: 493,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,258 : 311,276 = 311,276 : x
  2. Step 2: Convert to fraction form
    196,258/311,276 = 311,276/x
  3. Step 3: Cross multiply
    196,258x = 311,276 × 311,276
  4. Step 4: Simplify right side
    196,258x = 96,892,748,176
  5. Step 5: Solve for x
    x = 96,892,748,176/196,258
  6. Step 6: Final answer
    x = 493,700.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.