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Finding the Third Proportional to 9,011 and 19,409

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Solution

The third proportional to 9,011 and 19,409 is: 41,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011 : 19,409 = 19,409 : x
  2. Step 2: Convert to fraction form
    9,011/19,409 = 19,409/x
  3. Step 3: Cross multiply
    9,011x = 19,409 × 19,409
  4. Step 4: Simplify right side
    9,011x = 376,709,281
  5. Step 5: Solve for x
    x = 376,709,281/9,011
  6. Step 6: Final answer
    x = 41,805.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.