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Finding the Third Proportional to 196,283 and 311,319

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Solution

The third proportional to 196,283 and 311,319 is: 493,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,283 : 311,319 = 311,319 : x
  2. Step 2: Convert to fraction form
    196,283/311,319 = 311,319/x
  3. Step 3: Cross multiply
    196,283x = 311,319 × 311,319
  4. Step 4: Simplify right side
    196,283x = 96,919,519,761
  5. Step 5: Solve for x
    x = 96,919,519,761/196,283
  6. Step 6: Final answer
    x = 493,774.40

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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.