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Finding the Third Proportional to 19,012 and 40,486

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Solution

The third proportional to 19,012 and 40,486 is: 86,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,012 : 40,486 = 40,486 : x
  2. Step 2: Convert to fraction form
    19,012/40,486 = 40,486/x
  3. Step 3: Cross multiply
    19,012x = 40,486 × 40,486
  4. Step 4: Simplify right side
    19,012x = 1,639,116,196
  5. Step 5: Solve for x
    x = 1,639,116,196/19,012
  6. Step 6: Final answer
    x = 86,214.82

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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.