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Finding the Third Proportional to 15,942 and 35,070

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Solution

The third proportional to 15,942 and 35,070 is: 77,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942 : 35,070 = 35,070 : x
  2. Step 2: Convert to fraction form
    15,942/35,070 = 35,070/x
  3. Step 3: Cross multiply
    15,942x = 35,070 × 35,070
  4. Step 4: Simplify right side
    15,942x = 1,229,904,900
  5. Step 5: Solve for x
    x = 1,229,904,900/15,942
  6. Step 6: Final answer
    x = 77,148.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.