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Finding the Third Proportional to 211,769 and 328,035

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Solution

The third proportional to 211,769 and 328,035 is: 508,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,769 : 328,035 = 328,035 : x
  2. Step 2: Convert to fraction form
    211,769/328,035 = 328,035/x
  3. Step 3: Cross multiply
    211,769x = 328,035 × 328,035
  4. Step 4: Simplify right side
    211,769x = 107,606,961,225
  5. Step 5: Solve for x
    x = 107,606,961,225/211,769
  6. Step 6: Final answer
    x = 508,133.68

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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.