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Finding the Third Proportional to 37,406.50 and 62,338

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Solution

The third proportional to 37,406.50 and 62,338 is: 103,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,406.50 : 62,338 = 62,338 : x
  2. Step 2: Convert to fraction form
    37,406.50/62,338 = 62,338/x
  3. Step 3: Cross multiply
    37,406.50x = 62,338 × 62,338
  4. Step 4: Simplify right side
    37,406.50x = 3,886,026,244
  5. Step 5: Solve for x
    x = 3,886,026,244/37,406.50
  6. Step 6: Final answer
    x = 103,886.39

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.