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Finding the Third Proportional to 53,858 and 115,712

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Solution

The third proportional to 53,858 and 115,712 is: 248,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858 : 115,712 = 115,712 : x
  2. Step 2: Convert to fraction form
    53,858/115,712 = 115,712/x
  3. Step 3: Cross multiply
    53,858x = 115,712 × 115,712
  4. Step 4: Simplify right side
    53,858x = 13,389,266,944
  5. Step 5: Solve for x
    x = 13,389,266,944/53,858
  6. Step 6: Final answer
    x = 248,603.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.