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Finding the Third Proportional to 9,409 and 20,437

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Solution

The third proportional to 9,409 and 20,437 is: 44,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409 : 20,437 = 20,437 : x
  2. Step 2: Convert to fraction form
    9,409/20,437 = 20,437/x
  3. Step 3: Cross multiply
    9,409x = 20,437 × 20,437
  4. Step 4: Simplify right side
    9,409x = 417,670,969
  5. Step 5: Solve for x
    x = 417,670,969/9,409
  6. Step 6: Final answer
    x = 44,390.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.