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Finding the Third Proportional to 120,210.75 and 257,100.75

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Solution

The third proportional to 120,210.75 and 257,100.75 is: 549,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,210.75 : 257,100.75 = 257,100.75 : x
  2. Step 2: Convert to fraction form
    120,210.75/257,100.75 = 257,100.75/x
  3. Step 3: Cross multiply
    120,210.75x = 257,100.75 × 257,100.75
  4. Step 4: Simplify right side
    120,210.75x = 66,100,795,650.56
  5. Step 5: Solve for x
    x = 66,100,795,650.56/120,210.75
  6. Step 6: Final answer
    x = 549,874.25

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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.