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Finding the Third Proportional to 15,678.56 and 32,121.56

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Solution

The third proportional to 15,678.56 and 32,121.56 is: 65,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.56 : 32,121.56 = 32,121.56 : x
  2. Step 2: Convert to fraction form
    15,678.56/32,121.56 = 32,121.56/x
  3. Step 3: Cross multiply
    15,678.56x = 32,121.56 × 32,121.56
  4. Step 4: Simplify right side
    15,678.56x = 1,031,794,777.44
  5. Step 5: Solve for x
    x = 1,031,794,777.44/15,678.56
  6. Step 6: Final answer
    x = 65,809.27

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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.