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Finding the Third Proportional to 120,224 and 257,124

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Solution

The third proportional to 120,224 and 257,124 is: 549,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224 : 257,124 = 257,124 : x
  2. Step 2: Convert to fraction form
    120,224/257,124 = 257,124/x
  3. Step 3: Cross multiply
    120,224x = 257,124 × 257,124
  4. Step 4: Simplify right side
    120,224x = 66,112,751,376
  5. Step 5: Solve for x
    x = 66,112,751,376/120,224
  6. Step 6: Final answer
    x = 549,913.09

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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.