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Finding the Third Proportional to 20,509.50 and 53,427

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Solution

The third proportional to 20,509.50 and 53,427 is: 139,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.50 : 53,427 = 53,427 : x
  2. Step 2: Convert to fraction form
    20,509.50/53,427 = 53,427/x
  3. Step 3: Cross multiply
    20,509.50x = 53,427 × 53,427
  4. Step 4: Simplify right side
    20,509.50x = 2,854,444,329
  5. Step 5: Solve for x
    x = 2,854,444,329/20,509.50
  6. Step 6: Final answer
    x = 139,176.69

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.