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Finding the Third Proportional to 128,126 and 275,935

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Solution

The third proportional to 128,126 and 275,935 is: 594,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,126 : 275,935 = 275,935 : x
  2. Step 2: Convert to fraction form
    128,126/275,935 = 275,935/x
  3. Step 3: Cross multiply
    128,126x = 275,935 × 275,935
  4. Step 4: Simplify right side
    128,126x = 76,140,124,225
  5. Step 5: Solve for x
    x = 76,140,124,225/128,126
  6. Step 6: Final answer
    x = 594,259.75

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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.