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Finding the Third Proportional to 196,406 and 313,805.50

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Solution

The third proportional to 196,406 and 313,805.50 is: 501,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,406 : 313,805.50 = 313,805.50 : x
  2. Step 2: Convert to fraction form
    196,406/313,805.50 = 313,805.50/x
  3. Step 3: Cross multiply
    196,406x = 313,805.50 × 313,805.50
  4. Step 4: Simplify right side
    196,406x = 98,473,891,830.25
  5. Step 5: Solve for x
    x = 98,473,891,830.25/196,406
  6. Step 6: Final answer
    x = 501,379.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.