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Finding the Third Proportional to 120,199 and 257,073

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Solution

The third proportional to 120,199 and 257,073 is: 549,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199 : 257,073 = 257,073 : x
  2. Step 2: Convert to fraction form
    120,199/257,073 = 257,073/x
  3. Step 3: Cross multiply
    120,199x = 257,073 × 257,073
  4. Step 4: Simplify right side
    120,199x = 66,086,527,329
  5. Step 5: Solve for x
    x = 66,086,527,329/120,199
  6. Step 6: Final answer
    x = 549,809.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.