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Finding the Third Proportional to 72,698 and 109,411

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Solution

The third proportional to 72,698 and 109,411 is: 164,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698 : 109,411 = 109,411 : x
  2. Step 2: Convert to fraction form
    72,698/109,411 = 109,411/x
  3. Step 3: Cross multiply
    72,698x = 109,411 × 109,411
  4. Step 4: Simplify right side
    72,698x = 11,970,766,921
  5. Step 5: Solve for x
    x = 11,970,766,921/72,698
  6. Step 6: Final answer
    x = 164,664.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.