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Finding the Third Proportional to 216,064.13 and 286,709.63

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Solution

The third proportional to 216,064.13 and 286,709.63 is: 380,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,064.13 : 286,709.63 = 286,709.63 : x
  2. Step 2: Convert to fraction form
    216,064.13/286,709.63 = 286,709.63/x
  3. Step 3: Cross multiply
    216,064.13x = 286,709.63 × 286,709.63
  4. Step 4: Simplify right side
    216,064.13x = 82,202,409,067.64
  5. Step 5: Solve for x
    x = 82,202,409,067.64/216,064.13
  6. Step 6: Final answer
    x = 380,453.76

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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.