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Finding the Third Proportional to 148,549 and 320,771

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Solution

The third proportional to 148,549 and 320,771 is: 692,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,549 : 320,771 = 320,771 : x
  2. Step 2: Convert to fraction form
    148,549/320,771 = 320,771/x
  3. Step 3: Cross multiply
    148,549x = 320,771 × 320,771
  4. Step 4: Simplify right side
    148,549x = 102,894,034,441
  5. Step 5: Solve for x
    x = 102,894,034,441/148,549
  6. Step 6: Final answer
    x = 692,660.57

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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.