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Finding the Third Proportional to 70,056 and 149,953.50

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Solution

The third proportional to 70,056 and 149,953.50 is: 320,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,056 : 149,953.50 = 149,953.50 : x
  2. Step 2: Convert to fraction form
    70,056/149,953.50 = 149,953.50/x
  3. Step 3: Cross multiply
    70,056x = 149,953.50 × 149,953.50
  4. Step 4: Simplify right side
    70,056x = 22,486,052,162.25
  5. Step 5: Solve for x
    x = 22,486,052,162.25/70,056
  6. Step 6: Final answer
    x = 320,972.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.