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Finding the Third Proportional to 135,648 and 291,360

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Solution

The third proportional to 135,648 and 291,360 is: 625,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 291,360 = 291,360 : x
  2. Step 2: Convert to fraction form
    135,648/291,360 = 291,360/x
  3. Step 3: Cross multiply
    135,648x = 291,360 × 291,360
  4. Step 4: Simplify right side
    135,648x = 84,890,649,600
  5. Step 5: Solve for x
    x = 84,890,649,600/135,648
  6. Step 6: Final answer
    x = 625,815.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.