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Finding the Third Proportional to 220,032 and 482,139

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Solution

The third proportional to 220,032 and 482,139 is: 1,056,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,032 : 482,139 = 482,139 : x
  2. Step 2: Convert to fraction form
    220,032/482,139 = 482,139/x
  3. Step 3: Cross multiply
    220,032x = 482,139 × 482,139
  4. Step 4: Simplify right side
    220,032x = 232,458,015,321
  5. Step 5: Solve for x
    x = 232,458,015,321/220,032
  6. Step 6: Final answer
    x = 1,056,473.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.