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Finding the Third Proportional to 53,953 and 117,788

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Solution

The third proportional to 53,953 and 117,788 is: 257,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,953 : 117,788 = 117,788 : x
  2. Step 2: Convert to fraction form
    53,953/117,788 = 117,788/x
  3. Step 3: Cross multiply
    53,953x = 117,788 × 117,788
  4. Step 4: Simplify right side
    53,953x = 13,874,012,944
  5. Step 5: Solve for x
    x = 13,874,012,944/53,953
  6. Step 6: Final answer
    x = 257,149.98

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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.