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Finding the Third Proportional to 62,308 and 132,405.50

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Solution

The third proportional to 62,308 and 132,405.50 is: 281,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,308 : 132,405.50 = 132,405.50 : x
  2. Step 2: Convert to fraction form
    62,308/132,405.50 = 132,405.50/x
  3. Step 3: Cross multiply
    62,308x = 132,405.50 × 132,405.50
  4. Step 4: Simplify right side
    62,308x = 17,531,216,430.25
  5. Step 5: Solve for x
    x = 17,531,216,430.25/62,308
  6. Step 6: Final answer
    x = 281,363.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.