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Finding the Third Proportional to 214,869 and 455,351

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Solution

The third proportional to 214,869 and 455,351 is: 964,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,869 : 455,351 = 455,351 : x
  2. Step 2: Convert to fraction form
    214,869/455,351 = 455,351/x
  3. Step 3: Cross multiply
    214,869x = 455,351 × 455,351
  4. Step 4: Simplify right side
    214,869x = 207,344,533,201
  5. Step 5: Solve for x
    x = 207,344,533,201/214,869
  6. Step 6: Final answer
    x = 964,981.14

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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.