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Finding the Third Proportional to 65,640 and 157,524

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Solution

The third proportional to 65,640 and 157,524 is: 378,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,640 : 157,524 = 157,524 : x
  2. Step 2: Convert to fraction form
    65,640/157,524 = 157,524/x
  3. Step 3: Cross multiply
    65,640x = 157,524 × 157,524
  4. Step 4: Simplify right side
    65,640x = 24,813,810,576
  5. Step 5: Solve for x
    x = 24,813,810,576/65,640
  6. Step 6: Final answer
    x = 378,028.80

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.