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Finding the Third Proportional to 133,824 and 292,272

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Solution

The third proportional to 133,824 and 292,272 is: 638,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824 : 292,272 = 292,272 : x
  2. Step 2: Convert to fraction form
    133,824/292,272 = 292,272/x
  3. Step 3: Cross multiply
    133,824x = 292,272 × 292,272
  4. Step 4: Simplify right side
    133,824x = 85,422,921,984
  5. Step 5: Solve for x
    x = 85,422,921,984/133,824
  6. Step 6: Final answer
    x = 638,322.89

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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.