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Finding the Third Proportional to 216,068 and 286,714

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Solution

The third proportional to 216,068 and 286,714 is: 380,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,068 : 286,714 = 286,714 : x
  2. Step 2: Convert to fraction form
    216,068/286,714 = 286,714/x
  3. Step 3: Cross multiply
    216,068x = 286,714 × 286,714
  4. Step 4: Simplify right side
    216,068x = 82,204,917,796
  5. Step 5: Solve for x
    x = 82,204,917,796/216,068
  6. Step 6: Final answer
    x = 380,458.55

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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.