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Finding the Third Proportional to 148,632 and 320,484

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Solution

The third proportional to 148,632 and 320,484 is: 691,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,632 : 320,484 = 320,484 : x
  2. Step 2: Convert to fraction form
    148,632/320,484 = 320,484/x
  3. Step 3: Cross multiply
    148,632x = 320,484 × 320,484
  4. Step 4: Simplify right side
    148,632x = 102,709,994,256
  5. Step 5: Solve for x
    x = 102,709,994,256/148,632
  6. Step 6: Final answer
    x = 691,035.54

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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.