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Finding the Third Proportional to 120,558 and 262,545

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Solution

The third proportional to 120,558 and 262,545 is: 571,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,558 : 262,545 = 262,545 : x
  2. Step 2: Convert to fraction form
    120,558/262,545 = 262,545/x
  3. Step 3: Cross multiply
    120,558x = 262,545 × 262,545
  4. Step 4: Simplify right side
    120,558x = 68,929,877,025
  5. Step 5: Solve for x
    x = 68,929,877,025/120,558
  6. Step 6: Final answer
    x = 571,756.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.