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Finding the Third Proportional to 20,911.50 and 29,810

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Solution

The third proportional to 20,911.50 and 29,810 is: 42,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,911.50 : 29,810 = 29,810 : x
  2. Step 2: Convert to fraction form
    20,911.50/29,810 = 29,810/x
  3. Step 3: Cross multiply
    20,911.50x = 29,810 × 29,810
  4. Step 4: Simplify right side
    20,911.50x = 888,636,100
  5. Step 5: Solve for x
    x = 888,636,100/20,911.50
  6. Step 6: Final answer
    x = 42,495.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.