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Finding the Third Proportional to 196,369.50 and 307,190.50

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Solution

The third proportional to 196,369.50 and 307,190.50 is: 480,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,369.50 : 307,190.50 = 307,190.50 : x
  2. Step 2: Convert to fraction form
    196,369.50/307,190.50 = 307,190.50/x
  3. Step 3: Cross multiply
    196,369.50x = 307,190.50 × 307,190.50
  4. Step 4: Simplify right side
    196,369.50x = 94,366,003,290.25
  5. Step 5: Solve for x
    x = 94,366,003,290.25/196,369.50
  6. Step 6: Final answer
    x = 480,553.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.