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Finding the Third Proportional to 218,018 and 509,513

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Solution

The third proportional to 218,018 and 509,513 is: 1,190,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,018 : 509,513 = 509,513 : x
  2. Step 2: Convert to fraction form
    218,018/509,513 = 509,513/x
  3. Step 3: Cross multiply
    218,018x = 509,513 × 509,513
  4. Step 4: Simplify right side
    218,018x = 259,603,497,169
  5. Step 5: Solve for x
    x = 259,603,497,169/218,018
  6. Step 6: Final answer
    x = 1,190,743.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.