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Finding the Third Proportional to 122,709 and 256,535

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Solution

The third proportional to 122,709 and 256,535 is: 536,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,709 : 256,535 = 256,535 : x
  2. Step 2: Convert to fraction form
    122,709/256,535 = 256,535/x
  3. Step 3: Cross multiply
    122,709x = 256,535 × 256,535
  4. Step 4: Simplify right side
    122,709x = 65,810,206,225
  5. Step 5: Solve for x
    x = 65,810,206,225/122,709
  6. Step 6: Final answer
    x = 536,311.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.