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Finding the Third Proportional to 19,445 and 41,863

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Solution

The third proportional to 19,445 and 41,863 is: 90,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,445 : 41,863 = 41,863 : x
  2. Step 2: Convert to fraction form
    19,445/41,863 = 41,863/x
  3. Step 3: Cross multiply
    19,445x = 41,863 × 41,863
  4. Step 4: Simplify right side
    19,445x = 1,752,510,769
  5. Step 5: Solve for x
    x = 1,752,510,769/19,445
  6. Step 6: Final answer
    x = 90,126.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.