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Finding the Third Proportional to 96,040 and 223,272

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Solution

The third proportional to 96,040 and 223,272 is: 519,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,040 : 223,272 = 223,272 : x
  2. Step 2: Convert to fraction form
    96,040/223,272 = 223,272/x
  3. Step 3: Cross multiply
    96,040x = 223,272 × 223,272
  4. Step 4: Simplify right side
    96,040x = 49,850,385,984
  5. Step 5: Solve for x
    x = 49,850,385,984/96,040
  6. Step 6: Final answer
    x = 519,058.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.