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Finding the Third Proportional to 10,140 and 15,694

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Solution

The third proportional to 10,140 and 15,694 is: 24,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 15,694 = 15,694 : x
  2. Step 2: Convert to fraction form
    10,140/15,694 = 15,694/x
  3. Step 3: Cross multiply
    10,140x = 15,694 × 15,694
  4. Step 4: Simplify right side
    10,140x = 246,301,636
  5. Step 5: Solve for x
    x = 246,301,636/10,140
  6. Step 6: Final answer
    x = 24,290.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.