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Finding the Third Proportional to 69,984 and 148,608

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Solution

The third proportional to 69,984 and 148,608 is: 315,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984 : 148,608 = 148,608 : x
  2. Step 2: Convert to fraction form
    69,984/148,608 = 148,608/x
  3. Step 3: Cross multiply
    69,984x = 148,608 × 148,608
  4. Step 4: Simplify right side
    69,984x = 22,084,337,664
  5. Step 5: Solve for x
    x = 22,084,337,664/69,984
  6. Step 6: Final answer
    x = 315,562.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.