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Finding the Third Proportional to 65,833 and 128,381

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Solution

The third proportional to 65,833 and 128,381 is: 250,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833 : 128,381 = 128,381 : x
  2. Step 2: Convert to fraction form
    65,833/128,381 = 128,381/x
  3. Step 3: Cross multiply
    65,833x = 128,381 × 128,381
  4. Step 4: Simplify right side
    65,833x = 16,481,681,161
  5. Step 5: Solve for x
    x = 16,481,681,161/65,833
  6. Step 6: Final answer
    x = 250,355.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.