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Finding the Third Proportional to 196,944 and 312,642

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Solution

The third proportional to 196,944 and 312,642 is: 496,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,944 : 312,642 = 312,642 : x
  2. Step 2: Convert to fraction form
    196,944/312,642 = 312,642/x
  3. Step 3: Cross multiply
    196,944x = 312,642 × 312,642
  4. Step 4: Simplify right side
    196,944x = 97,745,020,164
  5. Step 5: Solve for x
    x = 97,745,020,164/196,944
  6. Step 6: Final answer
    x = 496,308.70

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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.