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Finding the Third Proportional to 196,985.50 and 288,491

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Solution

The third proportional to 196,985.50 and 288,491 is: 422,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,985.50 : 288,491 = 288,491 : x
  2. Step 2: Convert to fraction form
    196,985.50/288,491 = 288,491/x
  3. Step 3: Cross multiply
    196,985.50x = 288,491 × 288,491
  4. Step 4: Simplify right side
    196,985.50x = 83,227,057,081
  5. Step 5: Solve for x
    x = 83,227,057,081/196,985.50
  6. Step 6: Final answer
    x = 422,503.47

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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.