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Finding the Third Proportional to 148,502 and 320,188

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Solution

The third proportional to 148,502 and 320,188 is: 690,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,502 : 320,188 = 320,188 : x
  2. Step 2: Convert to fraction form
    148,502/320,188 = 320,188/x
  3. Step 3: Cross multiply
    148,502x = 320,188 × 320,188
  4. Step 4: Simplify right side
    148,502x = 102,520,355,344
  5. Step 5: Solve for x
    x = 102,520,355,344/148,502
  6. Step 6: Final answer
    x = 690,363.47

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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.