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Finding the Third Proportional to 69,480 and 149,760

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Solution

The third proportional to 69,480 and 149,760 is: 322,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,480 : 149,760 = 149,760 : x
  2. Step 2: Convert to fraction form
    69,480/149,760 = 149,760/x
  3. Step 3: Cross multiply
    69,480x = 149,760 × 149,760
  4. Step 4: Simplify right side
    69,480x = 22,428,057,600
  5. Step 5: Solve for x
    x = 22,428,057,600/69,480
  6. Step 6: Final answer
    x = 322,798.76

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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.