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Finding the Third Proportional to 100,312 and 214,448

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Solution

The third proportional to 100,312 and 214,448 is: 458,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,312 : 214,448 = 214,448 : x
  2. Step 2: Convert to fraction form
    100,312/214,448 = 214,448/x
  3. Step 3: Cross multiply
    100,312x = 214,448 × 214,448
  4. Step 4: Simplify right side
    100,312x = 45,987,944,704
  5. Step 5: Solve for x
    x = 45,987,944,704/100,312
  6. Step 6: Final answer
    x = 458,449.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.