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Finding the Third Proportional to 202,155 and 428,954

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Solution

The third proportional to 202,155 and 428,954 is: 910,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,155 : 428,954 = 428,954 : x
  2. Step 2: Convert to fraction form
    202,155/428,954 = 428,954/x
  3. Step 3: Cross multiply
    202,155x = 428,954 × 428,954
  4. Step 4: Simplify right side
    202,155x = 184,001,534,116
  5. Step 5: Solve for x
    x = 184,001,534,116/202,155
  6. Step 6: Final answer
    x = 910,200.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.