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Finding the Third Proportional to 61,729.59 and 135,237.09

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Solution

The third proportional to 61,729.59 and 135,237.09 is: 296,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,729.59 : 135,237.09 = 135,237.09 : x
  2. Step 2: Convert to fraction form
    61,729.59/135,237.09 = 135,237.09/x
  3. Step 3: Cross multiply
    61,729.59x = 135,237.09 × 135,237.09
  4. Step 4: Simplify right side
    61,729.59x = 18,289,071,525.95
  5. Step 5: Solve for x
    x = 18,289,071,525.95/61,729.59
  6. Step 6: Final answer
    x = 296,277.21

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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.