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Finding the Third Proportional to 139,534 and 208,755

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Solution

The third proportional to 139,534 and 208,755 is: 312,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,534 : 208,755 = 208,755 : x
  2. Step 2: Convert to fraction form
    139,534/208,755 = 208,755/x
  3. Step 3: Cross multiply
    139,534x = 208,755 × 208,755
  4. Step 4: Simplify right side
    139,534x = 43,578,650,025
  5. Step 5: Solve for x
    x = 43,578,650,025/139,534
  6. Step 6: Final answer
    x = 312,315.64

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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.