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Finding the Third Proportional to 90,672 and 133,242

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Solution

The third proportional to 90,672 and 133,242 is: 195,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,672 : 133,242 = 133,242 : x
  2. Step 2: Convert to fraction form
    90,672/133,242 = 133,242/x
  3. Step 3: Cross multiply
    90,672x = 133,242 × 133,242
  4. Step 4: Simplify right side
    90,672x = 17,753,430,564
  5. Step 5: Solve for x
    x = 17,753,430,564/90,672
  6. Step 6: Final answer
    x = 195,798.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.