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Finding the Third Proportional to 138,352 and 208,086

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Solution

The third proportional to 138,352 and 208,086 is: 312,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,352 : 208,086 = 208,086 : x
  2. Step 2: Convert to fraction form
    138,352/208,086 = 208,086/x
  3. Step 3: Cross multiply
    138,352x = 208,086 × 208,086
  4. Step 4: Simplify right side
    138,352x = 43,299,783,396
  5. Step 5: Solve for x
    x = 43,299,783,396/138,352
  6. Step 6: Final answer
    x = 312,968.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.