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Finding the Third Proportional to 368,128 and 521,996

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Solution

The third proportional to 368,128 and 521,996 is: 740,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,128 : 521,996 = 521,996 : x
  2. Step 2: Convert to fraction form
    368,128/521,996 = 521,996/x
  3. Step 3: Cross multiply
    368,128x = 521,996 × 521,996
  4. Step 4: Simplify right side
    368,128x = 272,479,824,016
  5. Step 5: Solve for x
    x = 272,479,824,016/368,128
  6. Step 6: Final answer
    x = 740,176.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.