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Finding the Third Proportional to 74,917 and 163,640

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Solution

The third proportional to 74,917 and 163,640 is: 357,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,917 : 163,640 = 163,640 : x
  2. Step 2: Convert to fraction form
    74,917/163,640 = 163,640/x
  3. Step 3: Cross multiply
    74,917x = 163,640 × 163,640
  4. Step 4: Simplify right side
    74,917x = 26,778,049,600
  5. Step 5: Solve for x
    x = 26,778,049,600/74,917
  6. Step 6: Final answer
    x = 357,436.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.