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Finding the Third Proportional to 20,647.50 and 45,239

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Solution

The third proportional to 20,647.50 and 45,239 is: 99,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.50 : 45,239 = 45,239 : x
  2. Step 2: Convert to fraction form
    20,647.50/45,239 = 45,239/x
  3. Step 3: Cross multiply
    20,647.50x = 45,239 × 45,239
  4. Step 4: Simplify right side
    20,647.50x = 2,046,567,121
  5. Step 5: Solve for x
    x = 2,046,567,121/20,647.50
  6. Step 6: Final answer
    x = 99,119.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.