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Finding the Third Proportional to 15,870 and 34,394

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Solution

The third proportional to 15,870 and 34,394 is: 74,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870 : 34,394 = 34,394 : x
  2. Step 2: Convert to fraction form
    15,870/34,394 = 34,394/x
  3. Step 3: Cross multiply
    15,870x = 34,394 × 34,394
  4. Step 4: Simplify right side
    15,870x = 1,182,947,236
  5. Step 5: Solve for x
    x = 1,182,947,236/15,870
  6. Step 6: Final answer
    x = 74,539.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.