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Finding the Third Proportional to 129,696 and 238,080

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Solution

The third proportional to 129,696 and 238,080 is: 437,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,696 : 238,080 = 238,080 : x
  2. Step 2: Convert to fraction form
    129,696/238,080 = 238,080/x
  3. Step 3: Cross multiply
    129,696x = 238,080 × 238,080
  4. Step 4: Simplify right side
    129,696x = 56,682,086,400
  5. Step 5: Solve for x
    x = 56,682,086,400/129,696
  6. Step 6: Final answer
    x = 437,038.05

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.