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Finding the Third Proportional to 54,389 and 115,303

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Solution

The third proportional to 54,389 and 115,303 is: 244,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,389 : 115,303 = 115,303 : x
  2. Step 2: Convert to fraction form
    54,389/115,303 = 115,303/x
  3. Step 3: Cross multiply
    54,389x = 115,303 × 115,303
  4. Step 4: Simplify right side
    54,389x = 13,294,781,809
  5. Step 5: Solve for x
    x = 13,294,781,809/54,389
  6. Step 6: Final answer
    x = 244,438.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.