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Finding the Third Proportional to 196,989.75 and 288,495

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Solution

The third proportional to 196,989.75 and 288,495 is: 422,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,989.75 : 288,495 = 288,495 : x
  2. Step 2: Convert to fraction form
    196,989.75/288,495 = 288,495/x
  3. Step 3: Cross multiply
    196,989.75x = 288,495 × 288,495
  4. Step 4: Simplify right side
    196,989.75x = 83,229,365,025
  5. Step 5: Solve for x
    x = 83,229,365,025/196,989.75
  6. Step 6: Final answer
    x = 422,506.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.