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Finding the Third Proportional to 218,515 and 475,484

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Solution

The third proportional to 218,515 and 475,484 is: 1,034,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,515 : 475,484 = 475,484 : x
  2. Step 2: Convert to fraction form
    218,515/475,484 = 475,484/x
  3. Step 3: Cross multiply
    218,515x = 475,484 × 475,484
  4. Step 4: Simplify right side
    218,515x = 226,085,034,256
  5. Step 5: Solve for x
    x = 226,085,034,256/218,515
  6. Step 6: Final answer
    x = 1,034,643.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.