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Finding the Third Proportional to 148,181 and 320,053

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Solution

The third proportional to 148,181 and 320,053 is: 691,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,181 : 320,053 = 320,053 : x
  2. Step 2: Convert to fraction form
    148,181/320,053 = 320,053/x
  3. Step 3: Cross multiply
    148,181x = 320,053 × 320,053
  4. Step 4: Simplify right side
    148,181x = 102,433,922,809
  5. Step 5: Solve for x
    x = 102,433,922,809/148,181
  6. Step 6: Final answer
    x = 691,275.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.