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Finding the Third Proportional to 121,074.75 and 257,914.13

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Solution

The third proportional to 121,074.75 and 257,914.13 is: 549,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,074.75 : 257,914.13 = 257,914.13 : x
  2. Step 2: Convert to fraction form
    121,074.75/257,914.13 = 257,914.13/x
  3. Step 3: Cross multiply
    121,074.75x = 257,914.13 × 257,914.13
  4. Step 4: Simplify right side
    121,074.75x = 66,519,695,874.52
  5. Step 5: Solve for x
    x = 66,519,695,874.52/121,074.75
  6. Step 6: Final answer
    x = 549,410.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.