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Finding the Third Proportional to 62,867 and 83,930.50

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Solution

The third proportional to 62,867 and 83,930.50 is: 112,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,867 : 83,930.50 = 83,930.50 : x
  2. Step 2: Convert to fraction form
    62,867/83,930.50 = 83,930.50/x
  3. Step 3: Cross multiply
    62,867x = 83,930.50 × 83,930.50
  4. Step 4: Simplify right side
    62,867x = 7,044,328,830.25
  5. Step 5: Solve for x
    x = 7,044,328,830.25/62,867
  6. Step 6: Final answer
    x = 112,051.30

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.