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Finding the Third Proportional to 220,897.13 and 476,543.25

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Solution

The third proportional to 220,897.13 and 476,543.25 is: 1,028,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,897.13 : 476,543.25 = 476,543.25 : x
  2. Step 2: Convert to fraction form
    220,897.13/476,543.25 = 476,543.25/x
  3. Step 3: Cross multiply
    220,897.13x = 476,543.25 × 476,543.25
  4. Step 4: Simplify right side
    220,897.13x = 227,093,469,120.56
  5. Step 5: Solve for x
    x = 227,093,469,120.56/220,897.13
  6. Step 6: Final answer
    x = 1,028,050.81

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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.