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Finding the Third Proportional to 20,840 and 34,572

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Solution

The third proportional to 20,840 and 34,572 is: 57,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840 : 34,572 = 34,572 : x
  2. Step 2: Convert to fraction form
    20,840/34,572 = 34,572/x
  3. Step 3: Cross multiply
    20,840x = 34,572 × 34,572
  4. Step 4: Simplify right side
    20,840x = 1,195,223,184
  5. Step 5: Solve for x
    x = 1,195,223,184/20,840
  6. Step 6: Final answer
    x = 57,352.36

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.