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Finding the Third Proportional to 53,080 and 116,366

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Solution

The third proportional to 53,080 and 116,366 is: 255,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,080 : 116,366 = 116,366 : x
  2. Step 2: Convert to fraction form
    53,080/116,366 = 116,366/x
  3. Step 3: Cross multiply
    53,080x = 116,366 × 116,366
  4. Step 4: Simplify right side
    53,080x = 13,541,045,956
  5. Step 5: Solve for x
    x = 13,541,045,956/53,080
  6. Step 6: Final answer
    x = 255,106.37

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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.