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Finding the Third Proportional to 53,610 and 76,933.50

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Solution

The third proportional to 53,610 and 76,933.50 is: 110,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,610 : 76,933.50 = 76,933.50 : x
  2. Step 2: Convert to fraction form
    53,610/76,933.50 = 76,933.50/x
  3. Step 3: Cross multiply
    53,610x = 76,933.50 × 76,933.50
  4. Step 4: Simplify right side
    53,610x = 5,918,763,422.25
  5. Step 5: Solve for x
    x = 5,918,763,422.25/53,610
  6. Step 6: Final answer
    x = 110,404.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.