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Finding the Third Proportional to 18,697.50 and 43,242.19

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Solution

The third proportional to 18,697.50 and 43,242.19 is: 100,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.50 : 43,242.19 = 43,242.19 : x
  2. Step 2: Convert to fraction form
    18,697.50/43,242.19 = 43,242.19/x
  3. Step 3: Cross multiply
    18,697.50x = 43,242.19 × 43,242.19
  4. Step 4: Simplify right side
    18,697.50x = 1,869,886,779.79
  5. Step 5: Solve for x
    x = 1,869,886,779.79/18,697.50
  6. Step 6: Final answer
    x = 100,007.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.