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Finding the Third Proportional to 138,188 and 295,336

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Solution

The third proportional to 138,188 and 295,336 is: 631,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,188 : 295,336 = 295,336 : x
  2. Step 2: Convert to fraction form
    138,188/295,336 = 295,336/x
  3. Step 3: Cross multiply
    138,188x = 295,336 × 295,336
  4. Step 4: Simplify right side
    138,188x = 87,223,352,896
  5. Step 5: Solve for x
    x = 87,223,352,896/138,188
  6. Step 6: Final answer
    x = 631,193.40

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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.