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Finding the Third Proportional to 138,692.25 and 208,645.88

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Solution

The third proportional to 138,692.25 and 208,645.88 is: 313,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,692.25 : 208,645.88 = 208,645.88 : x
  2. Step 2: Convert to fraction form
    138,692.25/208,645.88 = 208,645.88/x
  3. Step 3: Cross multiply
    138,692.25x = 208,645.88 × 208,645.88
  4. Step 4: Simplify right side
    138,692.25x = 43,533,101,154.52
  5. Step 5: Solve for x
    x = 43,533,101,154.52/138,692.25
  6. Step 6: Final answer
    x = 313,882.72

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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.