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Finding the Third Proportional to 62,320 and 108,546

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Solution

The third proportional to 62,320 and 108,546 is: 189,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,320 : 108,546 = 108,546 : x
  2. Step 2: Convert to fraction form
    62,320/108,546 = 108,546/x
  3. Step 3: Cross multiply
    62,320x = 108,546 × 108,546
  4. Step 4: Simplify right side
    62,320x = 11,782,234,116
  5. Step 5: Solve for x
    x = 11,782,234,116/62,320
  6. Step 6: Final answer
    x = 189,060.24

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.