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Finding the Third Proportional to 19,421 and 42,370

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Solution

The third proportional to 19,421 and 42,370 is: 92,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,421 : 42,370 = 42,370 : x
  2. Step 2: Convert to fraction form
    19,421/42,370 = 42,370/x
  3. Step 3: Cross multiply
    19,421x = 42,370 × 42,370
  4. Step 4: Simplify right side
    19,421x = 1,795,216,900
  5. Step 5: Solve for x
    x = 1,795,216,900/19,421
  6. Step 6: Final answer
    x = 92,436.89

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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.