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Finding the Third Proportional to 211,562 and 328,107

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Solution

The third proportional to 211,562 and 328,107 is: 508,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,562 : 328,107 = 328,107 : x
  2. Step 2: Convert to fraction form
    211,562/328,107 = 328,107/x
  3. Step 3: Cross multiply
    211,562x = 328,107 × 328,107
  4. Step 4: Simplify right side
    211,562x = 107,654,203,449
  5. Step 5: Solve for x
    x = 107,654,203,449/211,562
  6. Step 6: Final answer
    x = 508,854.16

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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.