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Finding the Third Proportional to 138,400 and 214,056

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Solution

The third proportional to 138,400 and 214,056 is: 331,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,400 : 214,056 = 214,056 : x
  2. Step 2: Convert to fraction form
    138,400/214,056 = 214,056/x
  3. Step 3: Cross multiply
    138,400x = 214,056 × 214,056
  4. Step 4: Simplify right side
    138,400x = 45,819,971,136
  5. Step 5: Solve for x
    x = 45,819,971,136/138,400
  6. Step 6: Final answer
    x = 331,069.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.