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Finding the Third Proportional to 128,185 and 280,494

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Solution

The third proportional to 128,185 and 280,494 is: 613,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,185 : 280,494 = 280,494 : x
  2. Step 2: Convert to fraction form
    128,185/280,494 = 280,494/x
  3. Step 3: Cross multiply
    128,185x = 280,494 × 280,494
  4. Step 4: Simplify right side
    128,185x = 78,676,884,036
  5. Step 5: Solve for x
    x = 78,676,884,036/128,185
  6. Step 6: Final answer
    x = 613,776.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.