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Finding the Third Proportional to 216,069 and 286,716

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Solution

The third proportional to 216,069 and 286,716 is: 380,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,069 : 286,716 = 286,716 : x
  2. Step 2: Convert to fraction form
    216,069/286,716 = 286,716/x
  3. Step 3: Cross multiply
    216,069x = 286,716 × 286,716
  4. Step 4: Simplify right side
    216,069x = 82,206,064,656
  5. Step 5: Solve for x
    x = 82,206,064,656/216,069
  6. Step 6: Final answer
    x = 380,462.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.