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Finding the Third Proportional to 103,290 and 218,880

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Solution

The third proportional to 103,290 and 218,880 is: 463,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,290 : 218,880 = 218,880 : x
  2. Step 2: Convert to fraction form
    103,290/218,880 = 218,880/x
  3. Step 3: Cross multiply
    103,290x = 218,880 × 218,880
  4. Step 4: Simplify right side
    103,290x = 47,908,454,400
  5. Step 5: Solve for x
    x = 47,908,454,400/103,290
  6. Step 6: Final answer
    x = 463,824.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.