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Finding the Third Proportional to 193,277.25 and 284,121

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Solution

The third proportional to 193,277.25 and 284,121 is: 417,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,277.25 : 284,121 = 284,121 : x
  2. Step 2: Convert to fraction form
    193,277.25/284,121 = 284,121/x
  3. Step 3: Cross multiply
    193,277.25x = 284,121 × 284,121
  4. Step 4: Simplify right side
    193,277.25x = 80,724,742,641
  5. Step 5: Solve for x
    x = 80,724,742,641/193,277.25
  6. Step 6: Final answer
    x = 417,662.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.