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Finding the Third Proportional to 103,235 and 218,875

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Solution

The third proportional to 103,235 and 218,875 is: 464,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,235 : 218,875 = 218,875 : x
  2. Step 2: Convert to fraction form
    103,235/218,875 = 218,875/x
  3. Step 3: Cross multiply
    103,235x = 218,875 × 218,875
  4. Step 4: Simplify right side
    103,235x = 47,906,265,625
  5. Step 5: Solve for x
    x = 47,906,265,625/103,235
  6. Step 6: Final answer
    x = 464,050.62

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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.