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Finding the Third Proportional to 211,560 and 328,104

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Solution

The third proportional to 211,560 and 328,104 is: 508,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,560 : 328,104 = 328,104 : x
  2. Step 2: Convert to fraction form
    211,560/328,104 = 328,104/x
  3. Step 3: Cross multiply
    211,560x = 328,104 × 328,104
  4. Step 4: Simplify right side
    211,560x = 107,652,234,816
  5. Step 5: Solve for x
    x = 107,652,234,816/211,560
  6. Step 6: Final answer
    x = 508,849.66

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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.