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Finding the Third Proportional to 85,440 and 119,824

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Solution

The third proportional to 85,440 and 119,824 is: 168,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,440 : 119,824 = 119,824 : x
  2. Step 2: Convert to fraction form
    85,440/119,824 = 119,824/x
  3. Step 3: Cross multiply
    85,440x = 119,824 × 119,824
  4. Step 4: Simplify right side
    85,440x = 14,357,790,976
  5. Step 5: Solve for x
    x = 14,357,790,976/85,440
  6. Step 6: Final answer
    x = 168,045.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.