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Finding the Third Proportional to 196,384.50 and 300,280.50

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Solution

The third proportional to 196,384.50 and 300,280.50 is: 459,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,384.50 : 300,280.50 = 300,280.50 : x
  2. Step 2: Convert to fraction form
    196,384.50/300,280.50 = 300,280.50/x
  3. Step 3: Cross multiply
    196,384.50x = 300,280.50 × 300,280.50
  4. Step 4: Simplify right side
    196,384.50x = 90,168,378,680.25
  5. Step 5: Solve for x
    x = 90,168,378,680.25/196,384.50
  6. Step 6: Final answer
    x = 459,142.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.