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Finding the Third Proportional to 21,829.50 and 40,905

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Solution

The third proportional to 21,829.50 and 40,905 is: 76,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.50 : 40,905 = 40,905 : x
  2. Step 2: Convert to fraction form
    21,829.50/40,905 = 40,905/x
  3. Step 3: Cross multiply
    21,829.50x = 40,905 × 40,905
  4. Step 4: Simplify right side
    21,829.50x = 1,673,219,025
  5. Step 5: Solve for x
    x = 1,673,219,025/21,829.50
  6. Step 6: Final answer
    x = 76,649.44

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.