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Finding the Third Proportional to 120,656.25 and 259,810.88

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Solution

The third proportional to 120,656.25 and 259,810.88 is: 559,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,656.25 : 259,810.88 = 259,810.88 : x
  2. Step 2: Convert to fraction form
    120,656.25/259,810.88 = 259,810.88/x
  3. Step 3: Cross multiply
    120,656.25x = 259,810.88 × 259,810.88
  4. Step 4: Simplify right side
    120,656.25x = 67,501,690,768.27
  5. Step 5: Solve for x
    x = 67,501,690,768.27/120,656.25
  6. Step 6: Final answer
    x = 559,454.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.