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Finding the Third Proportional to 133,827 and 292,278

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Solution

The third proportional to 133,827 and 292,278 is: 638,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,827 : 292,278 = 292,278 : x
  2. Step 2: Convert to fraction form
    133,827/292,278 = 292,278/x
  3. Step 3: Cross multiply
    133,827x = 292,278 × 292,278
  4. Step 4: Simplify right side
    133,827x = 85,426,429,284
  5. Step 5: Solve for x
    x = 85,426,429,284/133,827
  6. Step 6: Final answer
    x = 638,334.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.