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Finding the Third Proportional to 211,230 and 286,965

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Solution

The third proportional to 211,230 and 286,965 is: 389,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,230 : 286,965 = 286,965 : x
  2. Step 2: Convert to fraction form
    211,230/286,965 = 286,965/x
  3. Step 3: Cross multiply
    211,230x = 286,965 × 286,965
  4. Step 4: Simplify right side
    211,230x = 82,348,911,225
  5. Step 5: Solve for x
    x = 82,348,911,225/211,230
  6. Step 6: Final answer
    x = 389,854.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.