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Finding the Third Proportional to 133,834 and 286,987

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Solution

The third proportional to 133,834 and 286,987 is: 615,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,834 : 286,987 = 286,987 : x
  2. Step 2: Convert to fraction form
    133,834/286,987 = 286,987/x
  3. Step 3: Cross multiply
    133,834x = 286,987 × 286,987
  4. Step 4: Simplify right side
    133,834x = 82,361,538,169
  5. Step 5: Solve for x
    x = 82,361,538,169/133,834
  6. Step 6: Final answer
    x = 615,400.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.