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Finding the Third Proportional to 213,168 and 328,040

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Solution

The third proportional to 213,168 and 328,040 is: 504,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,168 : 328,040 = 328,040 : x
  2. Step 2: Convert to fraction form
    213,168/328,040 = 328,040/x
  3. Step 3: Cross multiply
    213,168x = 328,040 × 328,040
  4. Step 4: Simplify right side
    213,168x = 107,610,241,600
  5. Step 5: Solve for x
    x = 107,610,241,600/213,168
  6. Step 6: Final answer
    x = 504,814.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.