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Finding the Third Proportional to 53,610.38 and 114,583.13

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Solution

The third proportional to 53,610.38 and 114,583.13 is: 244,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,610.38 : 114,583.13 = 114,583.13 : x
  2. Step 2: Convert to fraction form
    53,610.38/114,583.13 = 114,583.13/x
  3. Step 3: Cross multiply
    53,610.38x = 114,583.13 × 114,583.13
  4. Step 4: Simplify right side
    53,610.38x = 13,129,292,534.77
  5. Step 5: Solve for x
    x = 13,129,292,534.77/53,610.38
  6. Step 6: Final answer
    x = 244,902.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.