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Finding the Third Proportional to 62,406 and 84,685.50

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Solution

The third proportional to 62,406 and 84,685.50 is: 114,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,406 : 84,685.50 = 84,685.50 : x
  2. Step 2: Convert to fraction form
    62,406/84,685.50 = 84,685.50/x
  3. Step 3: Cross multiply
    62,406x = 84,685.50 × 84,685.50
  4. Step 4: Simplify right side
    62,406x = 7,171,633,910.25
  5. Step 5: Solve for x
    x = 7,171,633,910.25/62,406
  6. Step 6: Final answer
    x = 114,918.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.