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Finding the Third Proportional to 215,145 and 472,751

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Solution

The third proportional to 215,145 and 472,751 is: 1,038,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,145 : 472,751 = 472,751 : x
  2. Step 2: Convert to fraction form
    215,145/472,751 = 472,751/x
  3. Step 3: Cross multiply
    215,145x = 472,751 × 472,751
  4. Step 4: Simplify right side
    215,145x = 223,493,508,001
  5. Step 5: Solve for x
    x = 223,493,508,001/215,145
  6. Step 6: Final answer
    x = 1,038,804.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.