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Finding the Third Proportional to 120,157 and 259,588

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Solution

The third proportional to 120,157 and 259,588 is: 560,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157 : 259,588 = 259,588 : x
  2. Step 2: Convert to fraction form
    120,157/259,588 = 259,588/x
  3. Step 3: Cross multiply
    120,157x = 259,588 × 259,588
  4. Step 4: Simplify right side
    120,157x = 67,385,929,744
  5. Step 5: Solve for x
    x = 67,385,929,744/120,157
  6. Step 6: Final answer
    x = 560,815.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.