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Finding the Third Proportional to 11,478 and 18,260.25

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Solution

The third proportional to 11,478 and 18,260.25 is: 29,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478 : 18,260.25 = 18,260.25 : x
  2. Step 2: Convert to fraction form
    11,478/18,260.25 = 18,260.25/x
  3. Step 3: Cross multiply
    11,478x = 18,260.25 × 18,260.25
  4. Step 4: Simplify right side
    11,478x = 333,436,730.06
  5. Step 5: Solve for x
    x = 333,436,730.06/11,478
  6. Step 6: Final answer
    x = 29,050.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.