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Finding the Third Proportional to 196,965 and 312,671.25

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Solution

The third proportional to 196,965 and 312,671.25 is: 496,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,965 : 312,671.25 = 312,671.25 : x
  2. Step 2: Convert to fraction form
    196,965/312,671.25 = 312,671.25/x
  3. Step 3: Cross multiply
    196,965x = 312,671.25 × 312,671.25
  4. Step 4: Simplify right side
    196,965x = 97,763,310,576.56
  5. Step 5: Solve for x
    x = 97,763,310,576.56/196,965
  6. Step 6: Final answer
    x = 496,348.64

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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.