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Finding the Third Proportional to 217,015 and 475,405

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Solution

The third proportional to 217,015 and 475,405 is: 1,041,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,015 : 475,405 = 475,405 : x
  2. Step 2: Convert to fraction form
    217,015/475,405 = 475,405/x
  3. Step 3: Cross multiply
    217,015x = 475,405 × 475,405
  4. Step 4: Simplify right side
    217,015x = 226,009,914,025
  5. Step 5: Solve for x
    x = 226,009,914,025/217,015
  6. Step 6: Final answer
    x = 1,041,448.35

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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.