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Finding the Third Proportional to 62,610 and 135,835.50

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Solution

The third proportional to 62,610 and 135,835.50 is: 294,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,610 : 135,835.50 = 135,835.50 : x
  2. Step 2: Convert to fraction form
    62,610/135,835.50 = 135,835.50/x
  3. Step 3: Cross multiply
    62,610x = 135,835.50 × 135,835.50
  4. Step 4: Simplify right side
    62,610x = 18,451,283,060.25
  5. Step 5: Solve for x
    x = 18,451,283,060.25/62,610
  6. Step 6: Final answer
    x = 294,701.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.