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Finding the Third Proportional to 128,240 and 275,416

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Solution

The third proportional to 128,240 and 275,416 is: 591,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,240 : 275,416 = 275,416 : x
  2. Step 2: Convert to fraction form
    128,240/275,416 = 275,416/x
  3. Step 3: Cross multiply
    128,240x = 275,416 × 275,416
  4. Step 4: Simplify right side
    128,240x = 75,853,973,056
  5. Step 5: Solve for x
    x = 75,853,973,056/128,240
  6. Step 6: Final answer
    x = 591,500.10

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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.