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Finding the Third Proportional to 196,850 and 312,555

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Solution

The third proportional to 196,850 and 312,555 is: 496,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,850 : 312,555 = 312,555 : x
  2. Step 2: Convert to fraction form
    196,850/312,555 = 312,555/x
  3. Step 3: Cross multiply
    196,850x = 312,555 × 312,555
  4. Step 4: Simplify right side
    196,850x = 97,690,628,025
  5. Step 5: Solve for x
    x = 97,690,628,025/196,850
  6. Step 6: Final answer
    x = 496,269.38

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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.