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Finding the Third Proportional to 15,342 and 17,070

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Solution

The third proportional to 15,342 and 17,070 is: 18,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342 : 17,070 = 17,070 : x
  2. Step 2: Convert to fraction form
    15,342/17,070 = 17,070/x
  3. Step 3: Cross multiply
    15,342x = 17,070 × 17,070
  4. Step 4: Simplify right side
    15,342x = 291,384,900
  5. Step 5: Solve for x
    x = 291,384,900/15,342
  6. Step 6: Final answer
    x = 18,992.63

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.