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Finding the Third Proportional to 90,486 and 118,992

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Solution

The third proportional to 90,486 and 118,992 is: 156,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,486 : 118,992 = 118,992 : x
  2. Step 2: Convert to fraction form
    90,486/118,992 = 118,992/x
  3. Step 3: Cross multiply
    90,486x = 118,992 × 118,992
  4. Step 4: Simplify right side
    90,486x = 14,159,096,064
  5. Step 5: Solve for x
    x = 14,159,096,064/90,486
  6. Step 6: Final answer
    x = 156,478.31

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.