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Finding the Third Proportional to 116,784 and 239,400

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Solution

The third proportional to 116,784 and 239,400 is: 490,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,784 : 239,400 = 239,400 : x
  2. Step 2: Convert to fraction form
    116,784/239,400 = 239,400/x
  3. Step 3: Cross multiply
    116,784x = 239,400 × 239,400
  4. Step 4: Simplify right side
    116,784x = 57,312,360,000
  5. Step 5: Solve for x
    x = 57,312,360,000/116,784
  6. Step 6: Final answer
    x = 490,755.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.