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Finding the Third Proportional to 116,496 and 244,080

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Solution

The third proportional to 116,496 and 244,080 is: 511,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,496 : 244,080 = 244,080 : x
  2. Step 2: Convert to fraction form
    116,496/244,080 = 244,080/x
  3. Step 3: Cross multiply
    116,496x = 244,080 × 244,080
  4. Step 4: Simplify right side
    116,496x = 59,575,046,400
  5. Step 5: Solve for x
    x = 59,575,046,400/116,496
  6. Step 6: Final answer
    x = 511,391.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.