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Finding the Third Proportional to 159,120 and 351,360

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Solution

The third proportional to 159,120 and 351,360 is: 775,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,120 : 351,360 = 351,360 : x
  2. Step 2: Convert to fraction form
    159,120/351,360 = 351,360/x
  3. Step 3: Cross multiply
    159,120x = 351,360 × 351,360
  4. Step 4: Simplify right side
    159,120x = 123,453,849,600
  5. Step 5: Solve for x
    x = 123,453,849,600/159,120
  6. Step 6: Final answer
    x = 775,853.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.