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Finding the Third Proportional to 101,985 and 220,919.50

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Solution

The third proportional to 101,985 and 220,919.50 is: 478,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,985 : 220,919.50 = 220,919.50 : x
  2. Step 2: Convert to fraction form
    101,985/220,919.50 = 220,919.50/x
  3. Step 3: Cross multiply
    101,985x = 220,919.50 × 220,919.50
  4. Step 4: Simplify right side
    101,985x = 48,805,425,480.25
  5. Step 5: Solve for x
    x = 48,805,425,480.25/101,985
  6. Step 6: Final answer
    x = 478,554.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.