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Finding the Third Proportional to 116,546 and 255,508

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Solution

The third proportional to 116,546 and 255,508 is: 560,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,546 : 255,508 = 255,508 : x
  2. Step 2: Convert to fraction form
    116,546/255,508 = 255,508/x
  3. Step 3: Cross multiply
    116,546x = 255,508 × 255,508
  4. Step 4: Simplify right side
    116,546x = 65,284,338,064
  5. Step 5: Solve for x
    x = 65,284,338,064/116,546
  6. Step 6: Final answer
    x = 560,159.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.