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Finding the Third Proportional to 120,775 and 260,018

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Solution

The third proportional to 120,775 and 260,018 is: 559,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,775 : 260,018 = 260,018 : x
  2. Step 2: Convert to fraction form
    120,775/260,018 = 260,018/x
  3. Step 3: Cross multiply
    120,775x = 260,018 × 260,018
  4. Step 4: Simplify right side
    120,775x = 67,609,360,324
  5. Step 5: Solve for x
    x = 67,609,360,324/120,775
  6. Step 6: Final answer
    x = 559,795.99

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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.