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Finding the Third Proportional to 101,056 and 220,052.50

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Solution

The third proportional to 101,056 and 220,052.50 is: 479,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,056 : 220,052.50 = 220,052.50 : x
  2. Step 2: Convert to fraction form
    101,056/220,052.50 = 220,052.50/x
  3. Step 3: Cross multiply
    101,056x = 220,052.50 × 220,052.50
  4. Step 4: Simplify right side
    101,056x = 48,423,102,756.25
  5. Step 5: Solve for x
    x = 48,423,102,756.25/101,056
  6. Step 6: Final answer
    x = 479,170.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.