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Finding the Third Proportional to 139,287 and 208,929

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Solution

The third proportional to 139,287 and 208,929 is: 313,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,287 : 208,929 = 208,929 : x
  2. Step 2: Convert to fraction form
    139,287/208,929 = 208,929/x
  3. Step 3: Cross multiply
    139,287x = 208,929 × 208,929
  4. Step 4: Simplify right side
    139,287x = 43,651,327,041
  5. Step 5: Solve for x
    x = 43,651,327,041/139,287
  6. Step 6: Final answer
    x = 313,391.25

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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.