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Finding the Third Proportional to 211,780 and 328,052

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Solution

The third proportional to 211,780 and 328,052 is: 508,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780 : 328,052 = 328,052 : x
  2. Step 2: Convert to fraction form
    211,780/328,052 = 328,052/x
  3. Step 3: Cross multiply
    211,780x = 328,052 × 328,052
  4. Step 4: Simplify right side
    211,780x = 107,618,114,704
  5. Step 5: Solve for x
    x = 107,618,114,704/211,780
  6. Step 6: Final answer
    x = 508,159.95

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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.