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Finding the Third Proportional to 9,505.50 and 23,115.75

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Solution

The third proportional to 9,505.50 and 23,115.75 is: 56,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.50 : 23,115.75 = 23,115.75 : x
  2. Step 2: Convert to fraction form
    9,505.50/23,115.75 = 23,115.75/x
  3. Step 3: Cross multiply
    9,505.50x = 23,115.75 × 23,115.75
  4. Step 4: Simplify right side
    9,505.50x = 534,337,898.06
  5. Step 5: Solve for x
    x = 534,337,898.06/9,505.50
  6. Step 6: Final answer
    x = 56,213.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.