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Finding the Third Proportional to 120,193.88 and 257,063.63

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Solution

The third proportional to 120,193.88 and 257,063.63 is: 549,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193.88 : 257,063.63 = 257,063.63 : x
  2. Step 2: Convert to fraction form
    120,193.88/257,063.63 = 257,063.63/x
  3. Step 3: Cross multiply
    120,193.88x = 257,063.63 × 257,063.63
  4. Step 4: Simplify right side
    120,193.88x = 66,081,707,298.14
  5. Step 5: Solve for x
    x = 66,081,707,298.14/120,193.88
  6. Step 6: Final answer
    x = 549,792.64

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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.