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Finding the Third Proportional to 196,860 and 297,639

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Solution

The third proportional to 196,860 and 297,639 is: 450,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,860 : 297,639 = 297,639 : x
  2. Step 2: Convert to fraction form
    196,860/297,639 = 297,639/x
  3. Step 3: Cross multiply
    196,860x = 297,639 × 297,639
  4. Step 4: Simplify right side
    196,860x = 88,588,974,321
  5. Step 5: Solve for x
    x = 88,588,974,321/196,860
  6. Step 6: Final answer
    x = 450,010.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.