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Finding the Third Proportional to 9,849.50 and 21,613

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Solution

The third proportional to 9,849.50 and 21,613 is: 47,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.50 : 21,613 = 21,613 : x
  2. Step 2: Convert to fraction form
    9,849.50/21,613 = 21,613/x
  3. Step 3: Cross multiply
    9,849.50x = 21,613 × 21,613
  4. Step 4: Simplify right side
    9,849.50x = 467,121,769
  5. Step 5: Solve for x
    x = 467,121,769/9,849.50
  6. Step 6: Final answer
    x = 47,425.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.