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Finding the Third Proportional to 133,829 and 290,986

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Solution

The third proportional to 133,829 and 290,986 is: 632,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,829 : 290,986 = 290,986 : x
  2. Step 2: Convert to fraction form
    133,829/290,986 = 290,986/x
  3. Step 3: Cross multiply
    133,829x = 290,986 × 290,986
  4. Step 4: Simplify right side
    133,829x = 84,672,852,196
  5. Step 5: Solve for x
    x = 84,672,852,196/133,829
  6. Step 6: Final answer
    x = 632,694.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.