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Finding the Third Proportional to 120,573.56 and 257,753.81

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Solution

The third proportional to 120,573.56 and 257,753.81 is: 551,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,573.56 : 257,753.81 = 257,753.81 : x
  2. Step 2: Convert to fraction form
    120,573.56/257,753.81 = 257,753.81/x
  3. Step 3: Cross multiply
    120,573.56x = 257,753.81 × 257,753.81
  4. Step 4: Simplify right side
    120,573.56x = 66,437,027,858.29
  5. Step 5: Solve for x
    x = 66,437,027,858.29/120,573.56
  6. Step 6: Final answer
    x = 551,008.25

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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.