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Finding the Third Proportional to 188,120 and 291,405

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Solution

The third proportional to 188,120 and 291,405 is: 451,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,120 : 291,405 = 291,405 : x
  2. Step 2: Convert to fraction form
    188,120/291,405 = 291,405/x
  3. Step 3: Cross multiply
    188,120x = 291,405 × 291,405
  4. Step 4: Simplify right side
    188,120x = 84,916,874,025
  5. Step 5: Solve for x
    x = 84,916,874,025/188,120
  6. Step 6: Final answer
    x = 451,397.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.