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Finding the Third Proportional to 125,901.75 and 257,620.50

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Solution

The third proportional to 125,901.75 and 257,620.50 is: 527,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,901.75 : 257,620.50 = 257,620.50 : x
  2. Step 2: Convert to fraction form
    125,901.75/257,620.50 = 257,620.50/x
  3. Step 3: Cross multiply
    125,901.75x = 257,620.50 × 257,620.50
  4. Step 4: Simplify right side
    125,901.75x = 66,368,322,020.25
  5. Step 5: Solve for x
    x = 66,368,322,020.25/125,901.75
  6. Step 6: Final answer
    x = 527,143.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.