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Finding the Third Proportional to 53,723 and 117,287

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Solution

The third proportional to 53,723 and 117,287 is: 256,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,723 : 117,287 = 117,287 : x
  2. Step 2: Convert to fraction form
    53,723/117,287 = 117,287/x
  3. Step 3: Cross multiply
    53,723x = 117,287 × 117,287
  4. Step 4: Simplify right side
    53,723x = 13,756,240,369
  5. Step 5: Solve for x
    x = 13,756,240,369/53,723
  6. Step 6: Final answer
    x = 256,058.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.