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Finding the Third Proportional to 155,187 and 208,545

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Solution

The third proportional to 155,187 and 208,545 is: 280,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,187 : 208,545 = 208,545 : x
  2. Step 2: Convert to fraction form
    155,187/208,545 = 208,545/x
  3. Step 3: Cross multiply
    155,187x = 208,545 × 208,545
  4. Step 4: Simplify right side
    155,187x = 43,491,017,025
  5. Step 5: Solve for x
    x = 43,491,017,025/155,187
  6. Step 6: Final answer
    x = 280,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.