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Finding the Third Proportional to 100,136.25 and 214,488

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Solution

The third proportional to 100,136.25 and 214,488 is: 459,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,136.25 : 214,488 = 214,488 : x
  2. Step 2: Convert to fraction form
    100,136.25/214,488 = 214,488/x
  3. Step 3: Cross multiply
    100,136.25x = 214,488 × 214,488
  4. Step 4: Simplify right side
    100,136.25x = 46,005,102,144
  5. Step 5: Solve for x
    x = 46,005,102,144/100,136.25
  6. Step 6: Final answer
    x = 459,425.05

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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.