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Finding the Third Proportional to 19,290 and 42,072

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Solution

The third proportional to 19,290 and 42,072 is: 91,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,290 : 42,072 = 42,072 : x
  2. Step 2: Convert to fraction form
    19,290/42,072 = 42,072/x
  3. Step 3: Cross multiply
    19,290x = 42,072 × 42,072
  4. Step 4: Simplify right side
    19,290x = 1,770,053,184
  5. Step 5: Solve for x
    x = 1,770,053,184/19,290
  6. Step 6: Final answer
    x = 91,760.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.