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Finding the Third Proportional to 125,245.50 and 256,624.50

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Solution

The third proportional to 125,245.50 and 256,624.50 is: 525,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,245.50 : 256,624.50 = 256,624.50 : x
  2. Step 2: Convert to fraction form
    125,245.50/256,624.50 = 256,624.50/x
  3. Step 3: Cross multiply
    125,245.50x = 256,624.50 × 256,624.50
  4. Step 4: Simplify right side
    125,245.50x = 65,856,134,000.25
  5. Step 5: Solve for x
    x = 65,856,134,000.25/125,245.50
  6. Step 6: Final answer
    x = 525,816.37

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1.5x scale

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.