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Finding the Third Proportional to 120,200.63 and 257,077.13

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Solution

The third proportional to 120,200.63 and 257,077.13 is: 549,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,200.63 : 257,077.13 = 257,077.13 : x
  2. Step 2: Convert to fraction form
    120,200.63/257,077.13 = 257,077.13/x
  3. Step 3: Cross multiply
    120,200.63x = 257,077.13 × 257,077.13
  4. Step 4: Simplify right side
    120,200.63x = 66,088,648,198.27
  5. Step 5: Solve for x
    x = 66,088,648,198.27/120,200.63
  6. Step 6: Final answer
    x = 549,819.51

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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.