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Finding the Third Proportional to 220,912 and 477,128

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Solution

The third proportional to 220,912 and 477,128 is: 1,030,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,912 : 477,128 = 477,128 : x
  2. Step 2: Convert to fraction form
    220,912/477,128 = 477,128/x
  3. Step 3: Cross multiply
    220,912x = 477,128 × 477,128
  4. Step 4: Simplify right side
    220,912x = 227,651,128,384
  5. Step 5: Solve for x
    x = 227,651,128,384/220,912
  6. Step 6: Final answer
    x = 1,030,505.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.