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Finding the Third Proportional to 19,140 and 41,520

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Solution

The third proportional to 19,140 and 41,520 is: 90,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,140 : 41,520 = 41,520 : x
  2. Step 2: Convert to fraction form
    19,140/41,520 = 41,520/x
  3. Step 3: Cross multiply
    19,140x = 41,520 × 41,520
  4. Step 4: Simplify right side
    19,140x = 1,723,910,400
  5. Step 5: Solve for x
    x = 1,723,910,400/19,140
  6. Step 6: Final answer
    x = 90,068.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.