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Finding the Third Proportional to 81,664 and 192,140

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Solution

The third proportional to 81,664 and 192,140 is: 452,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664 : 192,140 = 192,140 : x
  2. Step 2: Convert to fraction form
    81,664/192,140 = 192,140/x
  3. Step 3: Cross multiply
    81,664x = 192,140 × 192,140
  4. Step 4: Simplify right side
    81,664x = 36,917,779,600
  5. Step 5: Solve for x
    x = 36,917,779,600/81,664
  6. Step 6: Final answer
    x = 452,069.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.