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Finding the Third Proportional to 211,512 and 328,008

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Solution

The third proportional to 211,512 and 328,008 is: 508,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,512 : 328,008 = 328,008 : x
  2. Step 2: Convert to fraction form
    211,512/328,008 = 328,008/x
  3. Step 3: Cross multiply
    211,512x = 328,008 × 328,008
  4. Step 4: Simplify right side
    211,512x = 107,589,248,064
  5. Step 5: Solve for x
    x = 107,589,248,064/211,512
  6. Step 6: Final answer
    x = 508,667.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.