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Finding the Third Proportional to 138,725 and 208,106

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Solution

The third proportional to 138,725 and 208,106 is: 312,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,725 : 208,106 = 208,106 : x
  2. Step 2: Convert to fraction form
    138,725/208,106 = 208,106/x
  3. Step 3: Cross multiply
    138,725x = 208,106 × 208,106
  4. Step 4: Simplify right side
    138,725x = 43,308,107,236
  5. Step 5: Solve for x
    x = 43,308,107,236/138,725
  6. Step 6: Final answer
    x = 312,186.75

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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.