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Finding the Third Proportional to 122,316 and 268,686

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Solution

The third proportional to 122,316 and 268,686 is: 590,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,316 : 268,686 = 268,686 : x
  2. Step 2: Convert to fraction form
    122,316/268,686 = 268,686/x
  3. Step 3: Cross multiply
    122,316x = 268,686 × 268,686
  4. Step 4: Simplify right side
    122,316x = 72,192,166,596
  5. Step 5: Solve for x
    x = 72,192,166,596/122,316
  6. Step 6: Final answer
    x = 590,210.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.