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Finding the Third Proportional to 128,064 and 275,856

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Solution

The third proportional to 128,064 and 275,856 is: 594,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,064 : 275,856 = 275,856 : x
  2. Step 2: Convert to fraction form
    128,064/275,856 = 275,856/x
  3. Step 3: Cross multiply
    128,064x = 275,856 × 275,856
  4. Step 4: Simplify right side
    128,064x = 76,096,532,736
  5. Step 5: Solve for x
    x = 76,096,532,736/128,064
  6. Step 6: Final answer
    x = 594,207.06

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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.