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Finding the Third Proportional to 115,769 and 237,682

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Solution

The third proportional to 115,769 and 237,682 is: 487,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,769 : 237,682 = 237,682 : x
  2. Step 2: Convert to fraction form
    115,769/237,682 = 237,682/x
  3. Step 3: Cross multiply
    115,769x = 237,682 × 237,682
  4. Step 4: Simplify right side
    115,769x = 56,492,733,124
  5. Step 5: Solve for x
    x = 56,492,733,124/115,769
  6. Step 6: Final answer
    x = 487,978.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.