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Finding the Third Proportional to 119,080 and 256,855

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Solution

The third proportional to 119,080 and 256,855 is: 554,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,080 : 256,855 = 256,855 : x
  2. Step 2: Convert to fraction form
    119,080/256,855 = 256,855/x
  3. Step 3: Cross multiply
    119,080x = 256,855 × 256,855
  4. Step 4: Simplify right side
    119,080x = 65,974,491,025
  5. Step 5: Solve for x
    x = 65,974,491,025/119,080
  6. Step 6: Final answer
    x = 554,035.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.