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Finding the Third Proportional to 19,838 and 42,220

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Solution

The third proportional to 19,838 and 42,220 is: 89,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 42,220 = 42,220 : x
  2. Step 2: Convert to fraction form
    19,838/42,220 = 42,220/x
  3. Step 3: Cross multiply
    19,838x = 42,220 × 42,220
  4. Step 4: Simplify right side
    19,838x = 1,782,528,400
  5. Step 5: Solve for x
    x = 1,782,528,400/19,838
  6. Step 6: Final answer
    x = 89,854.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.