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Finding the Third Proportional to 211,992.19 and 287,868.94

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Solution

The third proportional to 211,992.19 and 287,868.94 is: 390,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,992.19 : 287,868.94 = 287,868.94 : x
  2. Step 2: Convert to fraction form
    211,992.19/287,868.94 = 287,868.94/x
  3. Step 3: Cross multiply
    211,992.19x = 287,868.94 × 287,868.94
  4. Step 4: Simplify right side
    211,992.19x = 82,868,525,177.38
  5. Step 5: Solve for x
    x = 82,868,525,177.38/211,992.19
  6. Step 6: Final answer
    x = 390,903.68

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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.