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Finding the Third Proportional to 116,790 and 239,412

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Solution

The third proportional to 116,790 and 239,412 is: 490,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,790 : 239,412 = 239,412 : x
  2. Step 2: Convert to fraction form
    116,790/239,412 = 239,412/x
  3. Step 3: Cross multiply
    116,790x = 239,412 × 239,412
  4. Step 4: Simplify right side
    116,790x = 57,318,105,744
  5. Step 5: Solve for x
    x = 57,318,105,744/116,790
  6. Step 6: Final answer
    x = 490,779.23

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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.