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Finding the Third Proportional to 196,320 and 312,176

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Solution

The third proportional to 196,320 and 312,176 is: 496,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,320 : 312,176 = 312,176 : x
  2. Step 2: Convert to fraction form
    196,320/312,176 = 312,176/x
  3. Step 3: Cross multiply
    196,320x = 312,176 × 312,176
  4. Step 4: Simplify right side
    196,320x = 97,453,854,976
  5. Step 5: Solve for x
    x = 97,453,854,976/196,320
  6. Step 6: Final answer
    x = 496,403.09

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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.